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Finding the Fourth Proportional to 8,962.20, 13,422.78 and 8,096.04

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Solution

The fourth proportional to 8,962.20, 13,422.78 and 8,096.04 is: 12,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.20 : 13,422.78 = 8,096.04 : x
  2. Step 2: Convert to fraction form
    8,962.20/13,422.78 = 8,096.04/x
  3. Step 3: Cross multiply
    8,962.20x = 13,422.78 × 8,096.04
  4. Step 4: Simplify right side
    8,962.20x = 108,671,363.79
  5. Step 5: Solve for x
    x = 108,671,363.79/8,962.20
  6. Step 6: Final answer
    x = 12,125.52

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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.