Home / 7,684.38-11,526.17-2,138.04

Finding the Fourth Proportional to 7,684.38, 11,526.17 and 2,138.04

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Solution

The fourth proportional to 7,684.38, 11,526.17 and 2,138.04 is: 3,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.38 : 11,526.17 = 2,138.04 : x
  2. Step 2: Convert to fraction form
    7,684.38/11,526.17 = 2,138.04/x
  3. Step 3: Cross multiply
    7,684.38x = 11,526.17 × 2,138.04
  4. Step 4: Simplify right side
    7,684.38x = 24,643,401.82
  5. Step 5: Solve for x
    x = 24,643,401.82/7,684.38
  6. Step 6: Final answer
    x = 3,206.95

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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.