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Finding the Fourth Proportional to 2,957.97, 4,083.17 and 1,778.82

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Solution

The fourth proportional to 2,957.97, 4,083.17 and 1,778.82 is: 2,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.97 : 4,083.17 = 1,778.82 : x
  2. Step 2: Convert to fraction form
    2,957.97/4,083.17 = 1,778.82/x
  3. Step 3: Cross multiply
    2,957.97x = 4,083.17 × 1,778.82
  4. Step 4: Simplify right side
    2,957.97x = 7,263,195.15
  5. Step 5: Solve for x
    x = 7,263,195.15/2,957.97
  6. Step 6: Final answer
    x = 2,455.47

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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.