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Finding the Fourth Proportional to 1,843.64, 2,543.72 and 1,283.48

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Solution

The fourth proportional to 1,843.64, 2,543.72 and 1,283.48 is: 1,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.64 : 2,543.72 = 1,283.48 : x
  2. Step 2: Convert to fraction form
    1,843.64/2,543.72 = 1,283.48/x
  3. Step 3: Cross multiply
    1,843.64x = 2,543.72 × 1,283.48
  4. Step 4: Simplify right side
    1,843.64x = 3,264,813.75
  5. Step 5: Solve for x
    x = 3,264,813.75/1,843.64
  6. Step 6: Final answer
    x = 1,770.85

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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.