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Finding the Fourth Proportional to 8,486.40, 12,737.70 and 7,255.20

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Solution

The fourth proportional to 8,486.40, 12,737.70 and 7,255.20 is: 10,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.40 : 12,737.70 = 7,255.20 : x
  2. Step 2: Convert to fraction form
    8,486.40/12,737.70 = 7,255.20/x
  3. Step 3: Cross multiply
    8,486.40x = 12,737.70 × 7,255.20
  4. Step 4: Simplify right side
    8,486.40x = 92,414,561.04
  5. Step 5: Solve for x
    x = 92,414,561.04/8,486.40
  6. Step 6: Final answer
    x = 10,889.72

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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.