Home / 3,977.29-5,964.57-2,002.16

Finding the Fourth Proportional to 3,977.29, 5,964.57 and 2,002.16

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Solution

The fourth proportional to 3,977.29, 5,964.57 and 2,002.16 is: 3,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.29 : 5,964.57 = 2,002.16 : x
  2. Step 2: Convert to fraction form
    3,977.29/5,964.57 = 2,002.16/x
  3. Step 3: Cross multiply
    3,977.29x = 5,964.57 × 2,002.16
  4. Step 4: Simplify right side
    3,977.29x = 11,942,023.47
  5. Step 5: Solve for x
    x = 11,942,023.47/3,977.29
  6. Step 6: Final answer
    x = 3,002.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.