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Finding the Fourth Proportional to 8,456.80, 12,688.80 and 5,339.20

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Solution

The fourth proportional to 8,456.80, 12,688.80 and 5,339.20 is: 8,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.80 : 12,688.80 = 5,339.20 : x
  2. Step 2: Convert to fraction form
    8,456.80/12,688.80 = 5,339.20/x
  3. Step 3: Cross multiply
    8,456.80x = 12,688.80 × 5,339.20
  4. Step 4: Simplify right side
    8,456.80x = 67,748,040.96
  5. Step 5: Solve for x
    x = 67,748,040.96/8,456.80
  6. Step 6: Final answer
    x = 8,011.07

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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.