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Finding the Fourth Proportional to 2,149.13, 2,965.13 and 1,204.79

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Solution

The fourth proportional to 2,149.13, 2,965.13 and 1,204.79 is: 1,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.13 : 2,965.13 = 1,204.79 : x
  2. Step 2: Convert to fraction form
    2,149.13/2,965.13 = 1,204.79/x
  3. Step 3: Cross multiply
    2,149.13x = 2,965.13 × 1,204.79
  4. Step 4: Simplify right side
    2,149.13x = 3,572,358.97
  5. Step 5: Solve for x
    x = 3,572,358.97/2,149.13
  6. Step 6: Final answer
    x = 1,662.23

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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.