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Finding the Fourth Proportional to 1,981.91, 2,974.70 and 1,008.74

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Solution

The fourth proportional to 1,981.91, 2,974.70 and 1,008.74 is: 1,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.91 : 2,974.70 = 1,008.74 : x
  2. Step 2: Convert to fraction form
    1,981.91/2,974.70 = 1,008.74/x
  3. Step 3: Cross multiply
    1,981.91x = 2,974.70 × 1,008.74
  4. Step 4: Simplify right side
    1,981.91x = 3,000,686.53
  5. Step 5: Solve for x
    x = 3,000,686.53/1,981.91
  6. Step 6: Final answer
    x = 1,514.04

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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.