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Finding the Fourth Proportional to 8,200.76, 12,301.14 and 5,426.90

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Solution

The fourth proportional to 8,200.76, 12,301.14 and 5,426.90 is: 8,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.76 : 12,301.14 = 5,426.90 : x
  2. Step 2: Convert to fraction form
    8,200.76/12,301.14 = 5,426.90/x
  3. Step 3: Cross multiply
    8,200.76x = 12,301.14 × 5,426.90
  4. Step 4: Simplify right side
    8,200.76x = 66,757,056.67
  5. Step 5: Solve for x
    x = 66,757,056.67/8,200.76
  6. Step 6: Final answer
    x = 8,140.35

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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.