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Finding the Fourth Proportional to 22,985.52, 31,720 and 13,049.52

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Solution

The fourth proportional to 22,985.52, 31,720 and 13,049.52 is: 18,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.52 : 31,720 = 13,049.52 : x
  2. Step 2: Convert to fraction form
    22,985.52/31,720 = 13,049.52/x
  3. Step 3: Cross multiply
    22,985.52x = 31,720 × 13,049.52
  4. Step 4: Simplify right side
    22,985.52x = 413,930,774.40
  5. Step 5: Solve for x
    x = 413,930,774.40/22,985.52
  6. Step 6: Final answer
    x = 18,008.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.