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Finding the Fourth Proportional to 1,949.34, 2,922.17 and 649.88

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Solution

The fourth proportional to 1,949.34, 2,922.17 and 649.88 is: 974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.34 : 2,922.17 = 649.88 : x
  2. Step 2: Convert to fraction form
    1,949.34/2,922.17 = 649.88/x
  3. Step 3: Cross multiply
    1,949.34x = 2,922.17 × 649.88
  4. Step 4: Simplify right side
    1,949.34x = 1,899,041.98
  5. Step 5: Solve for x
    x = 1,899,041.98/1,949.34
  6. Step 6: Final answer
    x = 974.20

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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.