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Finding the Fourth Proportional to 3,287.66, 4,545.72 and 2,872.66

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Solution

The fourth proportional to 3,287.66, 4,545.72 and 2,872.66 is: 3,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.66 : 4,545.72 = 2,872.66 : x
  2. Step 2: Convert to fraction form
    3,287.66/4,545.72 = 2,872.66/x
  3. Step 3: Cross multiply
    3,287.66x = 4,545.72 × 2,872.66
  4. Step 4: Simplify right side
    3,287.66x = 13,058,308.02
  5. Step 5: Solve for x
    x = 13,058,308.02/3,287.66
  6. Step 6: Final answer
    x = 3,971.92

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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.