Home / 5,712-7,882.45-3,194.11

Finding the Fourth Proportional to 5,712, 7,882.45 and 3,194.11

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Solution

The fourth proportional to 5,712, 7,882.45 and 3,194.11 is: 4,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712 : 7,882.45 = 3,194.11 : x
  2. Step 2: Convert to fraction form
    5,712/7,882.45 = 3,194.11/x
  3. Step 3: Cross multiply
    5,712x = 7,882.45 × 3,194.11
  4. Step 4: Simplify right side
    5,712x = 25,177,412.37
  5. Step 5: Solve for x
    x = 25,177,412.37/5,712
  6. Step 6: Final answer
    x = 4,407.81

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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.