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Finding the Fourth Proportional to 1,843.02, 2,753.12 and 1,478.52

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Solution

The fourth proportional to 1,843.02, 2,753.12 and 1,478.52 is: 2,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.02 : 2,753.12 = 1,478.52 : x
  2. Step 2: Convert to fraction form
    1,843.02/2,753.12 = 1,478.52/x
  3. Step 3: Cross multiply
    1,843.02x = 2,753.12 × 1,478.52
  4. Step 4: Simplify right side
    1,843.02x = 4,070,546.68
  5. Step 5: Solve for x
    x = 4,070,546.68/1,843.02
  6. Step 6: Final answer
    x = 2,208.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.