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Finding the Fourth Proportional to 1,988.52, 2,987.46 and 1,878

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Solution

The fourth proportional to 1,988.52, 2,987.46 and 1,878 is: 2,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.52 : 2,987.46 = 1,878 : x
  2. Step 2: Convert to fraction form
    1,988.52/2,987.46 = 1,878/x
  3. Step 3: Cross multiply
    1,988.52x = 2,987.46 × 1,878
  4. Step 4: Simplify right side
    1,988.52x = 5,610,449.88
  5. Step 5: Solve for x
    x = 5,610,449.88/1,988.52
  6. Step 6: Final answer
    x = 2,821.42

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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.