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Finding the Fourth Proportional to 12,938.38, 17,854.96 and 7,349.38

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Solution

The fourth proportional to 12,938.38, 17,854.96 and 7,349.38 is: 10,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.38 : 17,854.96 = 7,349.38 : x
  2. Step 2: Convert to fraction form
    12,938.38/17,854.96 = 7,349.38/x
  3. Step 3: Cross multiply
    12,938.38x = 17,854.96 × 7,349.38
  4. Step 4: Simplify right side
    12,938.38x = 131,222,885.92
  5. Step 5: Solve for x
    x = 131,222,885.92/12,938.38
  6. Step 6: Final answer
    x = 10,142.14

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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.