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Finding the Fourth Proportional to 19,331, 29,001.36 and 5,480

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Solution

The fourth proportional to 19,331, 29,001.36 and 5,480 is: 8,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,331 : 29,001.36 = 5,480 : x
  2. Step 2: Convert to fraction form
    19,331/29,001.36 = 5,480/x
  3. Step 3: Cross multiply
    19,331x = 29,001.36 × 5,480
  4. Step 4: Simplify right side
    19,331x = 158,927,452.80
  5. Step 5: Solve for x
    x = 158,927,452.80/19,331
  6. Step 6: Final answer
    x = 8,221.38

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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.