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Finding the Fourth Proportional to 2,635.54, 3,953.41 and 687.69

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Solution

The fourth proportional to 2,635.54, 3,953.41 and 687.69 is: 1,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.54 : 3,953.41 = 687.69 : x
  2. Step 2: Convert to fraction form
    2,635.54/3,953.41 = 687.69/x
  3. Step 3: Cross multiply
    2,635.54x = 3,953.41 × 687.69
  4. Step 4: Simplify right side
    2,635.54x = 2,718,718.80
  5. Step 5: Solve for x
    x = 2,718,718.80/2,635.54
  6. Step 6: Final answer
    x = 1,031.56

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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.