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Finding the Fourth Proportional to 1,849, 2,773.84 and 1,117.71

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Solution

The fourth proportional to 1,849, 2,773.84 and 1,117.71 is: 1,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849 : 2,773.84 = 1,117.71 : x
  2. Step 2: Convert to fraction form
    1,849/2,773.84 = 1,117.71/x
  3. Step 3: Cross multiply
    1,849x = 2,773.84 × 1,117.71
  4. Step 4: Simplify right side
    1,849x = 3,100,348.71
  5. Step 5: Solve for x
    x = 3,100,348.71/1,849
  6. Step 6: Final answer
    x = 1,676.77

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Double scale
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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.