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Finding the Fourth Proportional to 8,281.92, 12,422.88 and 2,438.58

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Solution

The fourth proportional to 8,281.92, 12,422.88 and 2,438.58 is: 3,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.92 : 12,422.88 = 2,438.58 : x
  2. Step 2: Convert to fraction form
    8,281.92/12,422.88 = 2,438.58/x
  3. Step 3: Cross multiply
    8,281.92x = 12,422.88 × 2,438.58
  4. Step 4: Simplify right side
    8,281.92x = 30,294,186.71
  5. Step 5: Solve for x
    x = 30,294,186.71/8,281.92
  6. Step 6: Final answer
    x = 3,657.87

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1.5x scale

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.