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Finding the Fourth Proportional to 9,753.62, 13,449.54 and 7,863.20

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Solution

The fourth proportional to 9,753.62, 13,449.54 and 7,863.20 is: 10,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.62 : 13,449.54 = 7,863.20 : x
  2. Step 2: Convert to fraction form
    9,753.62/13,449.54 = 7,863.20/x
  3. Step 3: Cross multiply
    9,753.62x = 13,449.54 × 7,863.20
  4. Step 4: Simplify right side
    9,753.62x = 105,756,422.93
  5. Step 5: Solve for x
    x = 105,756,422.93/9,753.62
  6. Step 6: Final answer
    x = 10,842.79

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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.