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Finding the Fourth Proportional to 2,635.24, 3,952.86 and 687.44

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Solution

The fourth proportional to 2,635.24, 3,952.86 and 687.44 is: 1,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.24 : 3,952.86 = 687.44 : x
  2. Step 2: Convert to fraction form
    2,635.24/3,952.86 = 687.44/x
  3. Step 3: Cross multiply
    2,635.24x = 3,952.86 × 687.44
  4. Step 4: Simplify right side
    2,635.24x = 2,717,354.08
  5. Step 5: Solve for x
    x = 2,717,354.08/2,635.24
  6. Step 6: Final answer
    x = 1,031.16

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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.