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Finding the Fourth Proportional to 9,797.39, 13,546.98 and 9,639.13

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Solution

The fourth proportional to 9,797.39, 13,546.98 and 9,639.13 is: 13,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.39 : 13,546.98 = 9,639.13 : x
  2. Step 2: Convert to fraction form
    9,797.39/13,546.98 = 9,639.13/x
  3. Step 3: Cross multiply
    9,797.39x = 13,546.98 × 9,639.13
  4. Step 4: Simplify right side
    9,797.39x = 130,581,067.46
  5. Step 5: Solve for x
    x = 130,581,067.46/9,797.39
  6. Step 6: Final answer
    x = 13,328.14

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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.