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Finding the Fourth Proportional to 8,147.84, 12,221.75 and 4,259.84

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Solution

The fourth proportional to 8,147.84, 12,221.75 and 4,259.84 is: 6,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.84 : 12,221.75 = 4,259.84 : x
  2. Step 2: Convert to fraction form
    8,147.84/12,221.75 = 4,259.84/x
  3. Step 3: Cross multiply
    8,147.84x = 12,221.75 × 4,259.84
  4. Step 4: Simplify right side
    8,147.84x = 52,062,649.06
  5. Step 5: Solve for x
    x = 52,062,649.06/8,147.84
  6. Step 6: Final answer
    x = 6,389.75

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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.