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Finding the Fourth Proportional to 2,144.66, 2,959.29 and 1,200.33

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Solution

The fourth proportional to 2,144.66, 2,959.29 and 1,200.33 is: 1,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.66 : 2,959.29 = 1,200.33 : x
  2. Step 2: Convert to fraction form
    2,144.66/2,959.29 = 1,200.33/x
  3. Step 3: Cross multiply
    2,144.66x = 2,959.29 × 1,200.33
  4. Step 4: Simplify right side
    2,144.66x = 3,552,124.57
  5. Step 5: Solve for x
    x = 3,552,124.57/2,144.66
  6. Step 6: Final answer
    x = 1,656.27

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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.