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Finding the Fourth Proportional to 12,281.76, 18,411.12 and 4,068

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Solution

The fourth proportional to 12,281.76, 18,411.12 and 4,068 is: 6,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.76 : 18,411.12 = 4,068 : x
  2. Step 2: Convert to fraction form
    12,281.76/18,411.12 = 4,068/x
  3. Step 3: Cross multiply
    12,281.76x = 18,411.12 × 4,068
  4. Step 4: Simplify right side
    12,281.76x = 74,896,436.16
  5. Step 5: Solve for x
    x = 74,896,436.16/12,281.76
  6. Step 6: Final answer
    x = 6,098.18

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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.