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Finding the Fourth Proportional to 8,251.34, 12,380.85 and 4,919.51

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Solution

The fourth proportional to 8,251.34, 12,380.85 and 4,919.51 is: 7,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.34 : 12,380.85 = 4,919.51 : x
  2. Step 2: Convert to fraction form
    8,251.34/12,380.85 = 4,919.51/x
  3. Step 3: Cross multiply
    8,251.34x = 12,380.85 × 4,919.51
  4. Step 4: Simplify right side
    8,251.34x = 60,907,746.34
  5. Step 5: Solve for x
    x = 60,907,746.34/8,251.34
  6. Step 6: Final answer
    x = 7,381.56

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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.