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Finding the Fourth Proportional to 1,279.52, 1,903.92 and 1,275.20

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Solution

The fourth proportional to 1,279.52, 1,903.92 and 1,275.20 is: 1,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.52 : 1,903.92 = 1,275.20 : x
  2. Step 2: Convert to fraction form
    1,279.52/1,903.92 = 1,275.20/x
  3. Step 3: Cross multiply
    1,279.52x = 1,903.92 × 1,275.20
  4. Step 4: Simplify right side
    1,279.52x = 2,427,878.78
  5. Step 5: Solve for x
    x = 2,427,878.78/1,279.52
  6. Step 6: Final answer
    x = 1,897.49

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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.