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Finding the Fourth Proportional to 6,348.79, 8,761.65 and 3,830.86

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Solution

The fourth proportional to 6,348.79, 8,761.65 and 3,830.86 is: 5,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.79 : 8,761.65 = 3,830.86 : x
  2. Step 2: Convert to fraction form
    6,348.79/8,761.65 = 3,830.86/x
  3. Step 3: Cross multiply
    6,348.79x = 8,761.65 × 3,830.86
  4. Step 4: Simplify right side
    6,348.79x = 33,564,639.31
  5. Step 5: Solve for x
    x = 33,564,639.31/6,348.79
  6. Step 6: Final answer
    x = 5,286.78

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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.