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Finding the Fourth Proportional to 10,645.76, 15,961.76 and 5,098.97

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Solution

The fourth proportional to 10,645.76, 15,961.76 and 5,098.97 is: 7,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.76 : 15,961.76 = 5,098.97 : x
  2. Step 2: Convert to fraction form
    10,645.76/15,961.76 = 5,098.97/x
  3. Step 3: Cross multiply
    10,645.76x = 15,961.76 × 5,098.97
  4. Step 4: Simplify right side
    10,645.76x = 81,388,468.33
  5. Step 5: Solve for x
    x = 81,388,468.33/10,645.76
  6. Step 6: Final answer
    x = 7,645.16

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1.5x scale

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.