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Finding the Fourth Proportional to 12,407.52, 18,612.08 and 5,482

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Solution

The fourth proportional to 12,407.52, 18,612.08 and 5,482 is: 8,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.52 : 18,612.08 = 5,482 : x
  2. Step 2: Convert to fraction form
    12,407.52/18,612.08 = 5,482/x
  3. Step 3: Cross multiply
    12,407.52x = 18,612.08 × 5,482
  4. Step 4: Simplify right side
    12,407.52x = 102,031,422.56
  5. Step 5: Solve for x
    x = 102,031,422.56/12,407.52
  6. Step 6: Final answer
    x = 8,223.35

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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.