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Finding the Fourth Proportional to 9,689.80, 13,371.78 and 5,497.96

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Solution

The fourth proportional to 9,689.80, 13,371.78 and 5,497.96 is: 7,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.80 : 13,371.78 = 5,497.96 : x
  2. Step 2: Convert to fraction form
    9,689.80/13,371.78 = 5,497.96/x
  3. Step 3: Cross multiply
    9,689.80x = 13,371.78 × 5,497.96
  4. Step 4: Simplify right side
    9,689.80x = 73,517,511.57
  5. Step 5: Solve for x
    x = 73,517,511.57/9,689.80
  6. Step 6: Final answer
    x = 7,587.10

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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.