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Finding the Fourth Proportional to 2,874.49, 3,966.31 and 1,695.79

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Solution

The fourth proportional to 2,874.49, 3,966.31 and 1,695.79 is: 2,339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.49 : 3,966.31 = 1,695.79 : x
  2. Step 2: Convert to fraction form
    2,874.49/3,966.31 = 1,695.79/x
  3. Step 3: Cross multiply
    2,874.49x = 3,966.31 × 1,695.79
  4. Step 4: Simplify right side
    2,874.49x = 6,726,028.83
  5. Step 5: Solve for x
    x = 6,726,028.83/2,874.49
  6. Step 6: Final answer
    x = 2,339.90

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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.