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Finding the Fourth Proportional to 3,642.88, 5,027.16 and 1,986.88

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Solution

The fourth proportional to 3,642.88, 5,027.16 and 1,986.88 is: 2,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.88 : 5,027.16 = 1,986.88 : x
  2. Step 2: Convert to fraction form
    3,642.88/5,027.16 = 1,986.88/x
  3. Step 3: Cross multiply
    3,642.88x = 5,027.16 × 1,986.88
  4. Step 4: Simplify right side
    3,642.88x = 9,988,363.66
  5. Step 5: Solve for x
    x = 9,988,363.66/3,642.88
  6. Step 6: Final answer
    x = 2,741.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.