Home / 2,827.24-3,900.78-1,648.08

Finding the Fourth Proportional to 2,827.24, 3,900.78 and 1,648.08

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Solution

The fourth proportional to 2,827.24, 3,900.78 and 1,648.08 is: 2,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.24 : 3,900.78 = 1,648.08 : x
  2. Step 2: Convert to fraction form
    2,827.24/3,900.78 = 1,648.08/x
  3. Step 3: Cross multiply
    2,827.24x = 3,900.78 × 1,648.08
  4. Step 4: Simplify right side
    2,827.24x = 6,428,797.50
  5. Step 5: Solve for x
    x = 6,428,797.50/2,827.24
  6. Step 6: Final answer
    x = 2,273.88

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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.