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Finding the Fourth Proportional to 10,480.62, 14,462.97 and 5,764.91

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Solution

The fourth proportional to 10,480.62, 14,462.97 and 5,764.91 is: 7,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.62 : 14,462.97 = 5,764.91 : x
  2. Step 2: Convert to fraction form
    10,480.62/14,462.97 = 5,764.91/x
  3. Step 3: Cross multiply
    10,480.62x = 14,462.97 × 5,764.91
  4. Step 4: Simplify right side
    10,480.62x = 83,377,720.38
  5. Step 5: Solve for x
    x = 83,377,720.38/10,480.62
  6. Step 6: Final answer
    x = 7,955.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.