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Finding the Fourth Proportional to 21,700.84, 32,553.87 and 7,657.97

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Solution

The fourth proportional to 21,700.84, 32,553.87 and 7,657.97 is: 11,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.84 : 32,553.87 = 7,657.97 : x
  2. Step 2: Convert to fraction form
    21,700.84/32,553.87 = 7,657.97/x
  3. Step 3: Cross multiply
    21,700.84x = 32,553.87 × 7,657.97
  4. Step 4: Simplify right side
    21,700.84x = 249,296,490.43
  5. Step 5: Solve for x
    x = 249,296,490.43/21,700.84
  6. Step 6: Final answer
    x = 11,487.87

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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.