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Finding the Fourth Proportional to 1,549.94, 2,138.90 and 841.79

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Solution

The fourth proportional to 1,549.94, 2,138.90 and 841.79 is: 1,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.94 : 2,138.90 = 841.79 : x
  2. Step 2: Convert to fraction form
    1,549.94/2,138.90 = 841.79/x
  3. Step 3: Cross multiply
    1,549.94x = 2,138.90 × 841.79
  4. Step 4: Simplify right side
    1,549.94x = 1,800,489.73
  5. Step 5: Solve for x
    x = 1,800,489.73/1,549.94
  6. Step 6: Final answer
    x = 1,161.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.