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Finding the Fourth Proportional to 2,144.09, 2,959.50 and 1,248.09

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Solution

The fourth proportional to 2,144.09, 2,959.50 and 1,248.09 is: 1,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.09 : 2,959.50 = 1,248.09 : x
  2. Step 2: Convert to fraction form
    2,144.09/2,959.50 = 1,248.09/x
  3. Step 3: Cross multiply
    2,144.09x = 2,959.50 × 1,248.09
  4. Step 4: Simplify right side
    2,144.09x = 3,693,722.36
  5. Step 5: Solve for x
    x = 3,693,722.36/2,144.09
  6. Step 6: Final answer
    x = 1,722.75

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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.