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Finding the Fourth Proportional to 8,457.62, 12,700.95 and 5,189.90

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Solution

The fourth proportional to 8,457.62, 12,700.95 and 5,189.90 is: 7,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.62 : 12,700.95 = 5,189.90 : x
  2. Step 2: Convert to fraction form
    8,457.62/12,700.95 = 5,189.90/x
  3. Step 3: Cross multiply
    8,457.62x = 12,700.95 × 5,189.90
  4. Step 4: Simplify right side
    8,457.62x = 65,916,660.41
  5. Step 5: Solve for x
    x = 65,916,660.41/8,457.62
  6. Step 6: Final answer
    x = 7,793.76

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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.