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Finding the Fourth Proportional to 11,411.46, 15,747.86 and 6,375.87

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Solution

The fourth proportional to 11,411.46, 15,747.86 and 6,375.87 is: 8,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.46 : 15,747.86 = 6,375.87 : x
  2. Step 2: Convert to fraction form
    11,411.46/15,747.86 = 6,375.87/x
  3. Step 3: Cross multiply
    11,411.46x = 15,747.86 × 6,375.87
  4. Step 4: Simplify right side
    11,411.46x = 100,406,276.26
  5. Step 5: Solve for x
    x = 100,406,276.26/11,411.46
  6. Step 6: Final answer
    x = 8,798.72

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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.