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Finding the Fourth Proportional to 1,944.90, 2,918.61 and 849.78

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Solution

The fourth proportional to 1,944.90, 2,918.61 and 849.78 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.90 : 2,918.61 = 849.78 : x
  2. Step 2: Convert to fraction form
    1,944.90/2,918.61 = 849.78/x
  3. Step 3: Cross multiply
    1,944.90x = 2,918.61 × 849.78
  4. Step 4: Simplify right side
    1,944.90x = 2,480,176.41
  5. Step 5: Solve for x
    x = 2,480,176.41/1,944.90
  6. Step 6: Final answer
    x = 1,275.22

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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.