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Finding the Fourth Proportional to 7,156.65, 9,874.98 and 4,172.61

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Solution

The fourth proportional to 7,156.65, 9,874.98 and 4,172.61 is: 5,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.65 : 9,874.98 = 4,172.61 : x
  2. Step 2: Convert to fraction form
    7,156.65/9,874.98 = 4,172.61/x
  3. Step 3: Cross multiply
    7,156.65x = 9,874.98 × 4,172.61
  4. Step 4: Simplify right side
    7,156.65x = 41,204,440.30
  5. Step 5: Solve for x
    x = 41,204,440.30/7,156.65
  6. Step 6: Final answer
    x = 5,757.50

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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.