Home / 2,771.24-3,824.40-1,708.78

Finding the Fourth Proportional to 2,771.24, 3,824.40 and 1,708.78

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Solution

The fourth proportional to 2,771.24, 3,824.40 and 1,708.78 is: 2,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.24 : 3,824.40 = 1,708.78 : x
  2. Step 2: Convert to fraction form
    2,771.24/3,824.40 = 1,708.78/x
  3. Step 3: Cross multiply
    2,771.24x = 3,824.40 × 1,708.78
  4. Step 4: Simplify right side
    2,771.24x = 6,535,058.23
  5. Step 5: Solve for x
    x = 6,535,058.23/2,771.24
  6. Step 6: Final answer
    x = 2,358.17

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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.