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Finding the Fourth Proportional to 13,787.33, 20,691.42 and 10,099.14

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Solution

The fourth proportional to 13,787.33, 20,691.42 and 10,099.14 is: 15,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.33 : 20,691.42 = 10,099.14 : x
  2. Step 2: Convert to fraction form
    13,787.33/20,691.42 = 10,099.14/x
  3. Step 3: Cross multiply
    13,787.33x = 20,691.42 × 10,099.14
  4. Step 4: Simplify right side
    13,787.33x = 208,965,547.38
  5. Step 5: Solve for x
    x = 208,965,547.38/13,787.33
  6. Step 6: Final answer
    x = 15,156.35

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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.