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Finding the Fourth Proportional to 18,038.20, 24,900.38 and 10,966.88

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Solution

The fourth proportional to 18,038.20, 24,900.38 and 10,966.88 is: 15,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038.20 : 24,900.38 = 10,966.88 : x
  2. Step 2: Convert to fraction form
    18,038.20/24,900.38 = 10,966.88/x
  3. Step 3: Cross multiply
    18,038.20x = 24,900.38 × 10,966.88
  4. Step 4: Simplify right side
    18,038.20x = 273,079,479.41
  5. Step 5: Solve for x
    x = 273,079,479.41/18,038.20
  6. Step 6: Final answer
    x = 15,138.95

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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.