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Finding the Fourth Proportional to 6,312.32, 8,711.12 and 3,517.84

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Solution

The fourth proportional to 6,312.32, 8,711.12 and 3,517.84 is: 4,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.32 : 8,711.12 = 3,517.84 : x
  2. Step 2: Convert to fraction form
    6,312.32/8,711.12 = 3,517.84/x
  3. Step 3: Cross multiply
    6,312.32x = 8,711.12 × 3,517.84
  4. Step 4: Simplify right side
    6,312.32x = 30,644,326.38
  5. Step 5: Solve for x
    x = 30,644,326.38/6,312.32
  6. Step 6: Final answer
    x = 4,854.69

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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.