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Finding the Fourth Proportional to 14,641.31, 20,221.43 and 9,917.39

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Solution

The fourth proportional to 14,641.31, 20,221.43 and 9,917.39 is: 13,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.31 : 20,221.43 = 9,917.39 : x
  2. Step 2: Convert to fraction form
    14,641.31/20,221.43 = 9,917.39/x
  3. Step 3: Cross multiply
    14,641.31x = 20,221.43 × 9,917.39
  4. Step 4: Simplify right side
    14,641.31x = 200,543,808.63
  5. Step 5: Solve for x
    x = 200,543,808.63/14,641.31
  6. Step 6: Final answer
    x = 13,697.12

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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.