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Finding the Fourth Proportional to 8,219.40, 12,323.22 and 3,834.46

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Solution

The fourth proportional to 8,219.40, 12,323.22 and 3,834.46 is: 5,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.40 : 12,323.22 = 3,834.46 : x
  2. Step 2: Convert to fraction form
    8,219.40/12,323.22 = 3,834.46/x
  3. Step 3: Cross multiply
    8,219.40x = 12,323.22 × 3,834.46
  4. Step 4: Simplify right side
    8,219.40x = 47,252,894.16
  5. Step 5: Solve for x
    x = 47,252,894.16/8,219.40
  6. Step 6: Final answer
    x = 5,748.95

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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.