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Finding the Fourth Proportional to 6,431.78, 8,874.69 and 6,103.73

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Solution

The fourth proportional to 6,431.78, 8,874.69 and 6,103.73 is: 8,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.78 : 8,874.69 = 6,103.73 : x
  2. Step 2: Convert to fraction form
    6,431.78/8,874.69 = 6,103.73/x
  3. Step 3: Cross multiply
    6,431.78x = 8,874.69 × 6,103.73
  4. Step 4: Simplify right side
    6,431.78x = 54,168,711.59
  5. Step 5: Solve for x
    x = 54,168,711.59/6,431.78
  6. Step 6: Final answer
    x = 8,422.04

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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.