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Finding the Fourth Proportional to 3,377, 4,660.80 and 1,979.76

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Solution

The fourth proportional to 3,377, 4,660.80 and 1,979.76 is: 2,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377 : 4,660.80 = 1,979.76 : x
  2. Step 2: Convert to fraction form
    3,377/4,660.80 = 1,979.76/x
  3. Step 3: Cross multiply
    3,377x = 4,660.80 × 1,979.76
  4. Step 4: Simplify right side
    3,377x = 9,227,265.41
  5. Step 5: Solve for x
    x = 9,227,265.41/3,377
  6. Step 6: Final answer
    x = 2,732.39

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1.5x scale

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.