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Finding the Fourth Proportional to 21,700.68, 32,553.62 and 7,657.80

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Solution

The fourth proportional to 21,700.68, 32,553.62 and 7,657.80 is: 11,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.68 : 32,553.62 = 7,657.80 : x
  2. Step 2: Convert to fraction form
    21,700.68/32,553.62 = 7,657.80/x
  3. Step 3: Cross multiply
    21,700.68x = 32,553.62 × 7,657.80
  4. Step 4: Simplify right side
    21,700.68x = 249,289,223.74
  5. Step 5: Solve for x
    x = 249,289,223.74/21,700.68
  6. Step 6: Final answer
    x = 11,487.62

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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.