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Finding the Fourth Proportional to 2,884.72, 4,323.43 and 1,957.97

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Solution

The fourth proportional to 2,884.72, 4,323.43 and 1,957.97 is: 2,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.72 : 4,323.43 = 1,957.97 : x
  2. Step 2: Convert to fraction form
    2,884.72/4,323.43 = 1,957.97/x
  3. Step 3: Cross multiply
    2,884.72x = 4,323.43 × 1,957.97
  4. Step 4: Simplify right side
    2,884.72x = 8,465,146.24
  5. Step 5: Solve for x
    x = 8,465,146.24/2,884.72
  6. Step 6: Final answer
    x = 2,934.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.