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Finding the Fourth Proportional to 2,938.76, 4,405.14 and 1,843.89

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Solution

The fourth proportional to 2,938.76, 4,405.14 and 1,843.89 is: 2,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.76 : 4,405.14 = 1,843.89 : x
  2. Step 2: Convert to fraction form
    2,938.76/4,405.14 = 1,843.89/x
  3. Step 3: Cross multiply
    2,938.76x = 4,405.14 × 1,843.89
  4. Step 4: Simplify right side
    2,938.76x = 8,122,593.59
  5. Step 5: Solve for x
    x = 8,122,593.59/2,938.76
  6. Step 6: Final answer
    x = 2,763.95

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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.