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Finding the Fourth Proportional to 3,471.55, 4,790.40 and 1,979.80

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Solution

The fourth proportional to 3,471.55, 4,790.40 and 1,979.80 is: 2,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.55 : 4,790.40 = 1,979.80 : x
  2. Step 2: Convert to fraction form
    3,471.55/4,790.40 = 1,979.80/x
  3. Step 3: Cross multiply
    3,471.55x = 4,790.40 × 1,979.80
  4. Step 4: Simplify right side
    3,471.55x = 9,484,033.92
  5. Step 5: Solve for x
    x = 9,484,033.92/3,471.55
  6. Step 6: Final answer
    x = 2,731.93

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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.