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Finding the Fourth Proportional to 8,203.62, 12,311.70 and 4,258.11

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Solution

The fourth proportional to 8,203.62, 12,311.70 and 4,258.11 is: 6,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.62 : 12,311.70 = 4,258.11 : x
  2. Step 2: Convert to fraction form
    8,203.62/12,311.70 = 4,258.11/x
  3. Step 3: Cross multiply
    8,203.62x = 12,311.70 × 4,258.11
  4. Step 4: Simplify right side
    8,203.62x = 52,424,511.33
  5. Step 5: Solve for x
    x = 52,424,511.33/8,203.62
  6. Step 6: Final answer
    x = 6,390.42

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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.