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Finding the Fourth Proportional to 8,543.38, 12,831.46 and 7,082.86

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Solution

The fourth proportional to 8,543.38, 12,831.46 and 7,082.86 is: 10,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.38 : 12,831.46 = 7,082.86 : x
  2. Step 2: Convert to fraction form
    8,543.38/12,831.46 = 7,082.86/x
  3. Step 3: Cross multiply
    8,543.38x = 12,831.46 × 7,082.86
  4. Step 4: Simplify right side
    8,543.38x = 90,883,434.78
  5. Step 5: Solve for x
    x = 90,883,434.78/8,543.38
  6. Step 6: Final answer
    x = 10,637.88

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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.