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Finding the Fourth Proportional to 2,144.49, 2,959.01 and 1,260.47

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Solution

The fourth proportional to 2,144.49, 2,959.01 and 1,260.47 is: 1,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.49 : 2,959.01 = 1,260.47 : x
  2. Step 2: Convert to fraction form
    2,144.49/2,959.01 = 1,260.47/x
  3. Step 3: Cross multiply
    2,144.49x = 2,959.01 × 1,260.47
  4. Step 4: Simplify right side
    2,144.49x = 3,729,722.24
  5. Step 5: Solve for x
    x = 3,729,722.24/2,144.49
  6. Step 6: Final answer
    x = 1,739.22

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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.