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Finding the Fourth Proportional to 9,844.53, 13,655.07 and 9,489.90

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Solution

The fourth proportional to 9,844.53, 13,655.07 and 9,489.90 is: 13,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.53 : 13,655.07 = 9,489.90 : x
  2. Step 2: Convert to fraction form
    9,844.53/13,655.07 = 9,489.90/x
  3. Step 3: Cross multiply
    9,844.53x = 13,655.07 × 9,489.90
  4. Step 4: Simplify right side
    9,844.53x = 129,585,248.79
  5. Step 5: Solve for x
    x = 129,585,248.79/9,844.53
  6. Step 6: Final answer
    x = 13,163.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.