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Finding the Fourth Proportional to 6,402.68, 8,831.69 and 4,409.78

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Solution

The fourth proportional to 6,402.68, 8,831.69 and 4,409.78 is: 6,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.68 : 8,831.69 = 4,409.78 : x
  2. Step 2: Convert to fraction form
    6,402.68/8,831.69 = 4,409.78/x
  3. Step 3: Cross multiply
    6,402.68x = 8,831.69 × 4,409.78
  4. Step 4: Simplify right side
    6,402.68x = 38,945,743.72
  5. Step 5: Solve for x
    x = 38,945,743.72/6,402.68
  6. Step 6: Final answer
    x = 6,082.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.