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Finding the Fourth Proportional to 2,687.52, 3,702.16 and 2,287.90

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Solution

The fourth proportional to 2,687.52, 3,702.16 and 2,287.90 is: 3,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.52 : 3,702.16 = 2,287.90 : x
  2. Step 2: Convert to fraction form
    2,687.52/3,702.16 = 2,287.90/x
  3. Step 3: Cross multiply
    2,687.52x = 3,702.16 × 2,287.90
  4. Step 4: Simplify right side
    2,687.52x = 8,470,171.86
  5. Step 5: Solve for x
    x = 8,470,171.86/2,687.52
  6. Step 6: Final answer
    x = 3,151.67

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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.