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Finding the Fourth Proportional to 21,781.99, 32,646.30 and 15,508

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Solution

The fourth proportional to 21,781.99, 32,646.30 and 15,508 is: 23,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.99 : 32,646.30 = 15,508 : x
  2. Step 2: Convert to fraction form
    21,781.99/32,646.30 = 15,508/x
  3. Step 3: Cross multiply
    21,781.99x = 32,646.30 × 15,508
  4. Step 4: Simplify right side
    21,781.99x = 506,278,820.40
  5. Step 5: Solve for x
    x = 506,278,820.40/21,781.99
  6. Step 6: Final answer
    x = 23,243.00

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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.