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Finding the Fourth Proportional to 7,412.50, 10,229.57 and 4,100.50

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Solution

The fourth proportional to 7,412.50, 10,229.57 and 4,100.50 is: 5,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.50 : 10,229.57 = 4,100.50 : x
  2. Step 2: Convert to fraction form
    7,412.50/10,229.57 = 4,100.50/x
  3. Step 3: Cross multiply
    7,412.50x = 10,229.57 × 4,100.50
  4. Step 4: Simplify right side
    7,412.50x = 41,946,351.79
  5. Step 5: Solve for x
    x = 41,946,351.79/7,412.50
  6. Step 6: Final answer
    x = 5,658.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.