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Finding the Fourth Proportional to 21,510, 32,253.12 and 14,489.64

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Solution

The fourth proportional to 21,510, 32,253.12 and 14,489.64 is: 21,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510 : 32,253.12 = 14,489.64 : x
  2. Step 2: Convert to fraction form
    21,510/32,253.12 = 14,489.64/x
  3. Step 3: Cross multiply
    21,510x = 32,253.12 × 14,489.64
  4. Step 4: Simplify right side
    21,510x = 467,336,097.68
  5. Step 5: Solve for x
    x = 467,336,097.68/21,510
  6. Step 6: Final answer
    x = 21,726.46

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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.