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Finding the Fourth Proportional to 3,872.53, 5,802.65 and 2,997.16

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Solution

The fourth proportional to 3,872.53, 5,802.65 and 2,997.16 is: 4,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.53 : 5,802.65 = 2,997.16 : x
  2. Step 2: Convert to fraction form
    3,872.53/5,802.65 = 2,997.16/x
  3. Step 3: Cross multiply
    3,872.53x = 5,802.65 × 2,997.16
  4. Step 4: Simplify right side
    3,872.53x = 17,391,470.47
  5. Step 5: Solve for x
    x = 17,391,470.47/3,872.53
  6. Step 6: Final answer
    x = 4,490.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.