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Finding the Fourth Proportional to 2,957.97, 4,082.71 and 1,778.81

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Solution

The fourth proportional to 2,957.97, 4,082.71 and 1,778.81 is: 2,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.97 : 4,082.71 = 1,778.81 : x
  2. Step 2: Convert to fraction form
    2,957.97/4,082.71 = 1,778.81/x
  3. Step 3: Cross multiply
    2,957.97x = 4,082.71 × 1,778.81
  4. Step 4: Simplify right side
    2,957.97x = 7,262,375.58
  5. Step 5: Solve for x
    x = 7,262,375.58/2,957.97
  6. Step 6: Final answer
    x = 2,455.19

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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.