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Finding the Fourth Proportional to 9,175.76, 12,663.62 and 5,449.76

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Solution

The fourth proportional to 9,175.76, 12,663.62 and 5,449.76 is: 7,521.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.76 : 12,663.62 = 5,449.76 : x
  2. Step 2: Convert to fraction form
    9,175.76/12,663.62 = 5,449.76/x
  3. Step 3: Cross multiply
    9,175.76x = 12,663.62 × 5,449.76
  4. Step 4: Simplify right side
    9,175.76x = 69,013,689.73
  5. Step 5: Solve for x
    x = 69,013,689.73/9,175.76
  6. Step 6: Final answer
    x = 7,521.31

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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.