Home / 3,922-5,407.56-3,080.08

Finding the Fourth Proportional to 3,922, 5,407.56 and 3,080.08

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Solution

The fourth proportional to 3,922, 5,407.56 and 3,080.08 is: 4,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922 : 5,407.56 = 3,080.08 : x
  2. Step 2: Convert to fraction form
    3,922/5,407.56 = 3,080.08/x
  3. Step 3: Cross multiply
    3,922x = 5,407.56 × 3,080.08
  4. Step 4: Simplify right side
    3,922x = 16,655,717.40
  5. Step 5: Solve for x
    x = 16,655,717.40/3,922
  6. Step 6: Final answer
    x = 4,246.74

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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.