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Finding the Fourth Proportional to 21,729.72, 32,590.28 and 6,934.64

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Solution

The fourth proportional to 21,729.72, 32,590.28 and 6,934.64 is: 10,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.72 : 32,590.28 = 6,934.64 : x
  2. Step 2: Convert to fraction form
    21,729.72/32,590.28 = 6,934.64/x
  3. Step 3: Cross multiply
    21,729.72x = 32,590.28 × 6,934.64
  4. Step 4: Simplify right side
    21,729.72x = 226,001,859.30
  5. Step 5: Solve for x
    x = 226,001,859.30/21,729.72
  6. Step 6: Final answer
    x = 10,400.59

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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.