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Finding the Fourth Proportional to 14,378.68, 19,842.44 and 8,090.92

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Solution

The fourth proportional to 14,378.68, 19,842.44 and 8,090.92 is: 11,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.68 : 19,842.44 = 8,090.92 : x
  2. Step 2: Convert to fraction form
    14,378.68/19,842.44 = 8,090.92/x
  3. Step 3: Cross multiply
    14,378.68x = 19,842.44 × 8,090.92
  4. Step 4: Simplify right side
    14,378.68x = 160,543,594.64
  5. Step 5: Solve for x
    x = 160,543,594.64/14,378.68
  6. Step 6: Final answer
    x = 11,165.39

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Half scale
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Double scale
Find fourth proportional to 14,379.68, 19,843.82 and 8,091.92
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.