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Finding the Fourth Proportional to 8,019, 12,029.61 and 2,472.78

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Solution

The fourth proportional to 8,019, 12,029.61 and 2,472.78 is: 3,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 12,029.61 = 2,472.78 : x
  2. Step 2: Convert to fraction form
    8,019/12,029.61 = 2,472.78/x
  3. Step 3: Cross multiply
    8,019x = 12,029.61 × 2,472.78
  4. Step 4: Simplify right side
    8,019x = 29,746,579.02
  5. Step 5: Solve for x
    x = 29,746,579.02/8,019
  6. Step 6: Final answer
    x = 3,709.51

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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.