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Finding the Fourth Proportional to 1,987.62, 2,981.45 and 754.69

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Solution

The fourth proportional to 1,987.62, 2,981.45 and 754.69 is: 1,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.62 : 2,981.45 = 754.69 : x
  2. Step 2: Convert to fraction form
    1,987.62/2,981.45 = 754.69/x
  3. Step 3: Cross multiply
    1,987.62x = 2,981.45 × 754.69
  4. Step 4: Simplify right side
    1,987.62x = 2,250,070.50
  5. Step 5: Solve for x
    x = 2,250,070.50/1,987.62
  6. Step 6: Final answer
    x = 1,132.04

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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.