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Finding the Fourth Proportional to 9,174.98, 12,658.38 and 5,591.18

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Solution

The fourth proportional to 9,174.98, 12,658.38 and 5,591.18 is: 7,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.98 : 12,658.38 = 5,591.18 : x
  2. Step 2: Convert to fraction form
    9,174.98/12,658.38 = 5,591.18/x
  3. Step 3: Cross multiply
    9,174.98x = 12,658.38 × 5,591.18
  4. Step 4: Simplify right side
    9,174.98x = 70,775,281.09
  5. Step 5: Solve for x
    x = 70,775,281.09/9,174.98
  6. Step 6: Final answer
    x = 7,713.94

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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.