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Finding the Fourth Proportional to 1,767.72, 2,649.68 and 1,151.88

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Solution

The fourth proportional to 1,767.72, 2,649.68 and 1,151.88 is: 1,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.72 : 2,649.68 = 1,151.88 : x
  2. Step 2: Convert to fraction form
    1,767.72/2,649.68 = 1,151.88/x
  3. Step 3: Cross multiply
    1,767.72x = 2,649.68 × 1,151.88
  4. Step 4: Simplify right side
    1,767.72x = 3,052,113.40
  5. Step 5: Solve for x
    x = 3,052,113.40/1,767.72
  6. Step 6: Final answer
    x = 1,726.58

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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.