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Finding the Fourth Proportional to 22,990.40, 31,732.80 and 13,562

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Solution

The fourth proportional to 22,990.40, 31,732.80 and 13,562 is: 18,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990.40 : 31,732.80 = 13,562 : x
  2. Step 2: Convert to fraction form
    22,990.40/31,732.80 = 13,562/x
  3. Step 3: Cross multiply
    22,990.40x = 31,732.80 × 13,562
  4. Step 4: Simplify right side
    22,990.40x = 430,360,233.60
  5. Step 5: Solve for x
    x = 430,360,233.60/22,990.40
  6. Step 6: Final answer
    x = 18,719.13

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Why These Related Problems?

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