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Finding the Fourth Proportional to 8,355.72, 12,532.14 and 3,422.28

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Solution

The fourth proportional to 8,355.72, 12,532.14 and 3,422.28 is: 5,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.72 : 12,532.14 = 3,422.28 : x
  2. Step 2: Convert to fraction form
    8,355.72/12,532.14 = 3,422.28/x
  3. Step 3: Cross multiply
    8,355.72x = 12,532.14 × 3,422.28
  4. Step 4: Simplify right side
    8,355.72x = 42,888,492.08
  5. Step 5: Solve for x
    x = 42,888,492.08/8,355.72
  6. Step 6: Final answer
    x = 5,132.83

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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.