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Finding the Fourth Proportional to 9,401.65, 12,974.25 and 5,209.90

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Solution

The fourth proportional to 9,401.65, 12,974.25 and 5,209.90 is: 7,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.65 : 12,974.25 = 5,209.90 : x
  2. Step 2: Convert to fraction form
    9,401.65/12,974.25 = 5,209.90/x
  3. Step 3: Cross multiply
    9,401.65x = 12,974.25 × 5,209.90
  4. Step 4: Simplify right side
    9,401.65x = 67,594,545.08
  5. Step 5: Solve for x
    x = 67,594,545.08/9,401.65
  6. Step 6: Final answer
    x = 7,189.65

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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.