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Finding the Fourth Proportional to 21,497.68, 32,255.76 and 11,644

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Solution

The fourth proportional to 21,497.68, 32,255.76 and 11,644 is: 17,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.68 : 32,255.76 = 11,644 : x
  2. Step 2: Convert to fraction form
    21,497.68/32,255.76 = 11,644/x
  3. Step 3: Cross multiply
    21,497.68x = 32,255.76 × 11,644
  4. Step 4: Simplify right side
    21,497.68x = 375,586,069.44
  5. Step 5: Solve for x
    x = 375,586,069.44/21,497.68
  6. Step 6: Final answer
    x = 17,471.00

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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.