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Finding the Fourth Proportional to 3,834.80, 5,753.10 and 1,237.76

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Solution

The fourth proportional to 3,834.80, 5,753.10 and 1,237.76 is: 1,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.80 : 5,753.10 = 1,237.76 : x
  2. Step 2: Convert to fraction form
    3,834.80/5,753.10 = 1,237.76/x
  3. Step 3: Cross multiply
    3,834.80x = 5,753.10 × 1,237.76
  4. Step 4: Simplify right side
    3,834.80x = 7,120,957.06
  5. Step 5: Solve for x
    x = 7,120,957.06/3,834.80
  6. Step 6: Final answer
    x = 1,856.93

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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.