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Finding the Fourth Proportional to 21,728.55, 32,572.02 and 6,929.31

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Solution

The fourth proportional to 21,728.55, 32,572.02 and 6,929.31 is: 10,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.55 : 32,572.02 = 6,929.31 : x
  2. Step 2: Convert to fraction form
    21,728.55/32,572.02 = 6,929.31/x
  3. Step 3: Cross multiply
    21,728.55x = 32,572.02 × 6,929.31
  4. Step 4: Simplify right side
    21,728.55x = 225,701,623.91
  5. Step 5: Solve for x
    x = 225,701,623.91/21,728.55
  6. Step 6: Final answer
    x = 10,387.33

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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.