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Finding the Fourth Proportional to 2,569.92, 3,546.49 and 1,390.99

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Solution

The fourth proportional to 2,569.92, 3,546.49 and 1,390.99 is: 1,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.92 : 3,546.49 = 1,390.99 : x
  2. Step 2: Convert to fraction form
    2,569.92/3,546.49 = 1,390.99/x
  3. Step 3: Cross multiply
    2,569.92x = 3,546.49 × 1,390.99
  4. Step 4: Simplify right side
    2,569.92x = 4,933,107.44
  5. Step 5: Solve for x
    x = 4,933,107.44/2,569.92
  6. Step 6: Final answer
    x = 1,919.56

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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.