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Finding the Fourth Proportional to 21,708.70, 32,565.72 and 7,665.88

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Solution

The fourth proportional to 21,708.70, 32,565.72 and 7,665.88 is: 11,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.70 : 32,565.72 = 7,665.88 : x
  2. Step 2: Convert to fraction form
    21,708.70/32,565.72 = 7,665.88/x
  3. Step 3: Cross multiply
    21,708.70x = 32,565.72 × 7,665.88
  4. Step 4: Simplify right side
    21,708.70x = 249,644,901.63
  5. Step 5: Solve for x
    x = 249,644,901.63/21,708.70
  6. Step 6: Final answer
    x = 11,499.76

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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.