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Finding the Fourth Proportional to 19,855.68, 29,783.76 and 8,166.24

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Solution

The fourth proportional to 19,855.68, 29,783.76 and 8,166.24 is: 12,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.68 : 29,783.76 = 8,166.24 : x
  2. Step 2: Convert to fraction form
    19,855.68/29,783.76 = 8,166.24/x
  3. Step 3: Cross multiply
    19,855.68x = 29,783.76 × 8,166.24
  4. Step 4: Simplify right side
    19,855.68x = 243,221,332.26
  5. Step 5: Solve for x
    x = 243,221,332.26/19,855.68
  6. Step 6: Final answer
    x = 12,249.46

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.