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Finding the Fourth Proportional to 22,965.12, 31,691.76 and 13,029.12

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Solution

The fourth proportional to 22,965.12, 31,691.76 and 13,029.12 is: 17,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.12 : 31,691.76 = 13,029.12 : x
  2. Step 2: Convert to fraction form
    22,965.12/31,691.76 = 13,029.12/x
  3. Step 3: Cross multiply
    22,965.12x = 31,691.76 × 13,029.12
  4. Step 4: Simplify right side
    22,965.12x = 412,915,744.05
  5. Step 5: Solve for x
    x = 412,915,744.05/22,965.12
  6. Step 6: Final answer
    x = 17,980.13

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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.