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Finding the Fourth Proportional to 11,411.56, 15,747.82 and 6,375.88

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Solution

The fourth proportional to 11,411.56, 15,747.82 and 6,375.88 is: 8,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.56 : 15,747.82 = 6,375.88 : x
  2. Step 2: Convert to fraction form
    11,411.56/15,747.82 = 6,375.88/x
  3. Step 3: Cross multiply
    11,411.56x = 15,747.82 × 6,375.88
  4. Step 4: Simplify right side
    11,411.56x = 100,406,210.58
  5. Step 5: Solve for x
    x = 100,406,210.58/11,411.56
  6. Step 6: Final answer
    x = 8,798.64

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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.