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Finding the Fourth Proportional to 1,987.74, 2,981.71 and 1,000.40

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Solution

The fourth proportional to 1,987.74, 2,981.71 and 1,000.40 is: 1,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.74 : 2,981.71 = 1,000.40 : x
  2. Step 2: Convert to fraction form
    1,987.74/2,981.71 = 1,000.40/x
  3. Step 3: Cross multiply
    1,987.74x = 2,981.71 × 1,000.40
  4. Step 4: Simplify right side
    1,987.74x = 2,982,905.80
  5. Step 5: Solve for x
    x = 2,982,905.80/1,987.74
  6. Step 6: Final answer
    x = 1,500.65

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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.