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Finding the Fourth Proportional to 2,767.53, 4,151.29 and 687.50

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Solution

The fourth proportional to 2,767.53, 4,151.29 and 687.50 is: 1,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.53 : 4,151.29 = 687.50 : x
  2. Step 2: Convert to fraction form
    2,767.53/4,151.29 = 687.50/x
  3. Step 3: Cross multiply
    2,767.53x = 4,151.29 × 687.50
  4. Step 4: Simplify right side
    2,767.53x = 2,854,011.88
  5. Step 5: Solve for x
    x = 2,854,011.88/2,767.53
  6. Step 6: Final answer
    x = 1,031.25

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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.