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Finding the Fourth Proportional to 8,214.88, 12,324.80 and 3,834.88

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Solution

The fourth proportional to 8,214.88, 12,324.80 and 3,834.88 is: 5,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.88 : 12,324.80 = 3,834.88 : x
  2. Step 2: Convert to fraction form
    8,214.88/12,324.80 = 3,834.88/x
  3. Step 3: Cross multiply
    8,214.88x = 12,324.80 × 3,834.88
  4. Step 4: Simplify right side
    8,214.88x = 47,264,129.02
  5. Step 5: Solve for x
    x = 47,264,129.02/8,214.88
  6. Step 6: Final answer
    x = 5,753.48

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1.5x scale

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.