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Finding the Fourth Proportional to 8,203.68, 12,310.99 and 3,821.58

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Solution

The fourth proportional to 8,203.68, 12,310.99 and 3,821.58 is: 5,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.68 : 12,310.99 = 3,821.58 : x
  2. Step 2: Convert to fraction form
    8,203.68/12,310.99 = 3,821.58/x
  3. Step 3: Cross multiply
    8,203.68x = 12,310.99 × 3,821.58
  4. Step 4: Simplify right side
    8,203.68x = 47,047,423.61
  5. Step 5: Solve for x
    x = 47,047,423.61/8,203.68
  6. Step 6: Final answer
    x = 5,734.92

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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.