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Finding the Fourth Proportional to 8,380.57, 12,572.47 and 2,834.81

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Solution

The fourth proportional to 8,380.57, 12,572.47 and 2,834.81 is: 4,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.57 : 12,572.47 = 2,834.81 : x
  2. Step 2: Convert to fraction form
    8,380.57/12,572.47 = 2,834.81/x
  3. Step 3: Cross multiply
    8,380.57x = 12,572.47 × 2,834.81
  4. Step 4: Simplify right side
    8,380.57x = 35,640,622.23
  5. Step 5: Solve for x
    x = 35,640,622.23/8,380.57
  6. Step 6: Final answer
    x = 4,252.77

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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.