Home / 7,874.24-11,811.36-2,030.90

Finding the Fourth Proportional to 7,874.24, 11,811.36 and 2,030.90

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Solution

The fourth proportional to 7,874.24, 11,811.36 and 2,030.90 is: 3,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.24 : 11,811.36 = 2,030.90 : x
  2. Step 2: Convert to fraction form
    7,874.24/11,811.36 = 2,030.90/x
  3. Step 3: Cross multiply
    7,874.24x = 11,811.36 × 2,030.90
  4. Step 4: Simplify right side
    7,874.24x = 23,987,691.02
  5. Step 5: Solve for x
    x = 23,987,691.02/7,874.24
  6. Step 6: Final answer
    x = 3,046.35

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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.