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Finding the Fourth Proportional to 1,979.88, 2,729.28 and 1,662.76

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Solution

The fourth proportional to 1,979.88, 2,729.28 and 1,662.76 is: 2,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.88 : 2,729.28 = 1,662.76 : x
  2. Step 2: Convert to fraction form
    1,979.88/2,729.28 = 1,662.76/x
  3. Step 3: Cross multiply
    1,979.88x = 2,729.28 × 1,662.76
  4. Step 4: Simplify right side
    1,979.88x = 4,538,137.61
  5. Step 5: Solve for x
    x = 4,538,137.61/1,979.88
  6. Step 6: Final answer
    x = 2,292.13

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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.