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Finding the Fourth Proportional to 22,931.60, 34,397.40 and 13,715.60

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Solution

The fourth proportional to 22,931.60, 34,397.40 and 13,715.60 is: 20,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.60 : 34,397.40 = 13,715.60 : x
  2. Step 2: Convert to fraction form
    22,931.60/34,397.40 = 13,715.60/x
  3. Step 3: Cross multiply
    22,931.60x = 34,397.40 × 13,715.60
  4. Step 4: Simplify right side
    22,931.60x = 471,780,979.44
  5. Step 5: Solve for x
    x = 471,780,979.44/22,931.60
  6. Step 6: Final answer
    x = 20,573.40

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