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Finding the Fourth Proportional to 7,144.40, 10,712.95 and 2,763.11

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Solution

The fourth proportional to 7,144.40, 10,712.95 and 2,763.11 is: 4,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.40 : 10,712.95 = 2,763.11 : x
  2. Step 2: Convert to fraction form
    7,144.40/10,712.95 = 2,763.11/x
  3. Step 3: Cross multiply
    7,144.40x = 10,712.95 × 2,763.11
  4. Step 4: Simplify right side
    7,144.40x = 29,601,059.27
  5. Step 5: Solve for x
    x = 29,601,059.27/7,144.40
  6. Step 6: Final answer
    x = 4,143.25

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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.