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Finding the Fourth Proportional to 12,385, 18,580.38 and 8,916.04

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Solution

The fourth proportional to 12,385, 18,580.38 and 8,916.04 is: 13,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385 : 18,580.38 = 8,916.04 : x
  2. Step 2: Convert to fraction form
    12,385/18,580.38 = 8,916.04/x
  3. Step 3: Cross multiply
    12,385x = 18,580.38 × 8,916.04
  4. Step 4: Simplify right side
    12,385x = 165,663,411.30
  5. Step 5: Solve for x
    x = 165,663,411.30/12,385
  6. Step 6: Final answer
    x = 13,376.13

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Why These Related Problems?

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