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Finding the Fourth Proportional to 10,640.85, 15,964.02 and 5,098.47

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Solution

The fourth proportional to 10,640.85, 15,964.02 and 5,098.47 is: 7,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.85 : 15,964.02 = 5,098.47 : x
  2. Step 2: Convert to fraction form
    10,640.85/15,964.02 = 5,098.47/x
  3. Step 3: Cross multiply
    10,640.85x = 15,964.02 × 5,098.47
  4. Step 4: Simplify right side
    10,640.85x = 81,392,077.05
  5. Step 5: Solve for x
    x = 81,392,077.05/10,640.85
  6. Step 6: Final answer
    x = 7,649.02

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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.