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Finding the Fourth Proportional to 7,791.50, 10,753.26 and 5,144.42

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Solution

The fourth proportional to 7,791.50, 10,753.26 and 5,144.42 is: 7,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.50 : 10,753.26 = 5,144.42 : x
  2. Step 2: Convert to fraction form
    7,791.50/10,753.26 = 5,144.42/x
  3. Step 3: Cross multiply
    7,791.50x = 10,753.26 × 5,144.42
  4. Step 4: Simplify right side
    7,791.50x = 55,319,285.81
  5. Step 5: Solve for x
    x = 55,319,285.81/7,791.50
  6. Step 6: Final answer
    x = 7,099.95

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1.5x scale

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.