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Finding the Fourth Proportional to 10,553.87, 15,836.31 and 7,656.10

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Solution

The fourth proportional to 10,553.87, 15,836.31 and 7,656.10 is: 11,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.87 : 15,836.31 = 7,656.10 : x
  2. Step 2: Convert to fraction form
    10,553.87/15,836.31 = 7,656.10/x
  3. Step 3: Cross multiply
    10,553.87x = 15,836.31 × 7,656.10
  4. Step 4: Simplify right side
    10,553.87x = 121,244,333.40
  5. Step 5: Solve for x
    x = 121,244,333.40/10,553.87
  6. Step 6: Final answer
    x = 11,488.14

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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.