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Finding the Fourth Proportional to 13,614.88, 18,787.12 and 9,137.72

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Solution

The fourth proportional to 13,614.88, 18,787.12 and 9,137.72 is: 12,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.88 : 18,787.12 = 9,137.72 : x
  2. Step 2: Convert to fraction form
    13,614.88/18,787.12 = 9,137.72/x
  3. Step 3: Cross multiply
    13,614.88x = 18,787.12 × 9,137.72
  4. Step 4: Simplify right side
    13,614.88x = 171,671,442.17
  5. Step 5: Solve for x
    x = 171,671,442.17/13,614.88
  6. Step 6: Final answer
    x = 12,609.10

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