Home / 3,574-4,932.12-2,002.09

Finding the Fourth Proportional to 3,574, 4,932.12 and 2,002.09

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Solution

The fourth proportional to 3,574, 4,932.12 and 2,002.09 is: 2,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574 : 4,932.12 = 2,002.09 : x
  2. Step 2: Convert to fraction form
    3,574/4,932.12 = 2,002.09/x
  3. Step 3: Cross multiply
    3,574x = 4,932.12 × 2,002.09
  4. Step 4: Simplify right side
    3,574x = 9,874,548.13
  5. Step 5: Solve for x
    x = 9,874,548.13/3,574
  6. Step 6: Final answer
    x = 2,762.88

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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.