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Finding the Fourth Proportional to 3,837.90, 5,752.12 and 1,987.95

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Solution

The fourth proportional to 3,837.90, 5,752.12 and 1,987.95 is: 2,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.90 : 5,752.12 = 1,987.95 : x
  2. Step 2: Convert to fraction form
    3,837.90/5,752.12 = 1,987.95/x
  3. Step 3: Cross multiply
    3,837.90x = 5,752.12 × 1,987.95
  4. Step 4: Simplify right side
    3,837.90x = 11,434,926.95
  5. Step 5: Solve for x
    x = 11,434,926.95/3,837.90
  6. Step 6: Final answer
    x = 2,979.47

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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.