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Finding the Fourth Proportional to 1,987.29, 2,980.43 and 817.62

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Solution

The fourth proportional to 1,987.29, 2,980.43 and 817.62 is: 1,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.29 : 2,980.43 = 817.62 : x
  2. Step 2: Convert to fraction form
    1,987.29/2,980.43 = 817.62/x
  3. Step 3: Cross multiply
    1,987.29x = 2,980.43 × 817.62
  4. Step 4: Simplify right side
    1,987.29x = 2,436,843.91
  5. Step 5: Solve for x
    x = 2,436,843.91/1,987.29
  6. Step 6: Final answer
    x = 1,226.21

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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.