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Finding the Fourth Proportional to 2,229.78, 3,080.94 and 2,150.94

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Solution

The fourth proportional to 2,229.78, 3,080.94 and 2,150.94 is: 2,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.78 : 3,080.94 = 2,150.94 : x
  2. Step 2: Convert to fraction form
    2,229.78/3,080.94 = 2,150.94/x
  3. Step 3: Cross multiply
    2,229.78x = 3,080.94 × 2,150.94
  4. Step 4: Simplify right side
    2,229.78x = 6,626,917.08
  5. Step 5: Solve for x
    x = 6,626,917.08/2,229.78
  6. Step 6: Final answer
    x = 2,972.00

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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.