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Finding the Fourth Proportional to 1,987.80, 2,981.70 and 1,714.20

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Solution

The fourth proportional to 1,987.80, 2,981.70 and 1,714.20 is: 2,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.80 : 2,981.70 = 1,714.20 : x
  2. Step 2: Convert to fraction form
    1,987.80/2,981.70 = 1,714.20/x
  3. Step 3: Cross multiply
    1,987.80x = 2,981.70 × 1,714.20
  4. Step 4: Simplify right side
    1,987.80x = 5,111,230.14
  5. Step 5: Solve for x
    x = 5,111,230.14/1,987.80
  6. Step 6: Final answer
    x = 2,571.30

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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.