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Finding the Fourth Proportional to 2,144.77, 2,959 and 1,259.92

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Solution

The fourth proportional to 2,144.77, 2,959 and 1,259.92 is: 1,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.77 : 2,959 = 1,259.92 : x
  2. Step 2: Convert to fraction form
    2,144.77/2,959 = 1,259.92/x
  3. Step 3: Cross multiply
    2,144.77x = 2,959 × 1,259.92
  4. Step 4: Simplify right side
    2,144.77x = 3,728,103.28
  5. Step 5: Solve for x
    x = 3,728,103.28/2,144.77
  6. Step 6: Final answer
    x = 1,738.23

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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.