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Finding the Fourth Proportional to 10,561, 15,843.12 and 7,661.20

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Solution

The fourth proportional to 10,561, 15,843.12 and 7,661.20 is: 11,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 15,843.12 = 7,661.20 : x
  2. Step 2: Convert to fraction form
    10,561/15,843.12 = 7,661.20/x
  3. Step 3: Cross multiply
    10,561x = 15,843.12 × 7,661.20
  4. Step 4: Simplify right side
    10,561x = 121,377,310.94
  5. Step 5: Solve for x
    x = 121,377,310.94/10,561
  6. Step 6: Final answer
    x = 11,492.98

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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.