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Finding the Fourth Proportional to 8,280.96, 12,427.20 and 5,352

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Solution

The fourth proportional to 8,280.96, 12,427.20 and 5,352 is: 8,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.96 : 12,427.20 = 5,352 : x
  2. Step 2: Convert to fraction form
    8,280.96/12,427.20 = 5,352/x
  3. Step 3: Cross multiply
    8,280.96x = 12,427.20 × 5,352
  4. Step 4: Simplify right side
    8,280.96x = 66,510,374.40
  5. Step 5: Solve for x
    x = 66,510,374.40/8,280.96
  6. Step 6: Final answer
    x = 8,031.72

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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.