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Finding the Fourth Proportional to 2,839, 4,259.92 and 1,853.74

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Solution

The fourth proportional to 2,839, 4,259.92 and 1,853.74 is: 2,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839 : 4,259.92 = 1,853.74 : x
  2. Step 2: Convert to fraction form
    2,839/4,259.92 = 1,853.74/x
  3. Step 3: Cross multiply
    2,839x = 4,259.92 × 1,853.74
  4. Step 4: Simplify right side
    2,839x = 7,896,784.10
  5. Step 5: Solve for x
    x = 7,896,784.10/2,839
  6. Step 6: Final answer
    x = 2,781.54

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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.