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Finding the Fourth Proportional to 2,726.86, 4,090.33 and 752.47

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Solution

The fourth proportional to 2,726.86, 4,090.33 and 752.47 is: 1,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.86 : 4,090.33 = 752.47 : x
  2. Step 2: Convert to fraction form
    2,726.86/4,090.33 = 752.47/x
  3. Step 3: Cross multiply
    2,726.86x = 4,090.33 × 752.47
  4. Step 4: Simplify right side
    2,726.86x = 3,077,850.62
  5. Step 5: Solve for x
    x = 3,077,850.62/2,726.86
  6. Step 6: Final answer
    x = 1,128.72

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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.