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Finding the Fourth Proportional to 9,691.88, 13,373.40 and 5,443.16

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Solution

The fourth proportional to 9,691.88, 13,373.40 and 5,443.16 is: 7,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.88 : 13,373.40 = 5,443.16 : x
  2. Step 2: Convert to fraction form
    9,691.88/13,373.40 = 5,443.16/x
  3. Step 3: Cross multiply
    9,691.88x = 13,373.40 × 5,443.16
  4. Step 4: Simplify right side
    9,691.88x = 72,793,555.94
  5. Step 5: Solve for x
    x = 72,793,555.94/9,691.88
  6. Step 6: Final answer
    x = 7,510.78

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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.