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Finding the Fourth Proportional to 13,460.66, 20,141.78 and 7,916.61

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Solution

The fourth proportional to 13,460.66, 20,141.78 and 7,916.61 is: 11,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.66 : 20,141.78 = 7,916.61 : x
  2. Step 2: Convert to fraction form
    13,460.66/20,141.78 = 7,916.61/x
  3. Step 3: Cross multiply
    13,460.66x = 20,141.78 × 7,916.61
  4. Step 4: Simplify right side
    13,460.66x = 159,454,577.38
  5. Step 5: Solve for x
    x = 159,454,577.38/13,460.66
  6. Step 6: Final answer
    x = 11,845.97

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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.