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Finding the Fourth Proportional to 15,006.78, 20,709.30 and 8,382.78

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Solution

The fourth proportional to 15,006.78, 20,709.30 and 8,382.78 is: 11,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.78 : 20,709.30 = 8,382.78 : x
  2. Step 2: Convert to fraction form
    15,006.78/20,709.30 = 8,382.78/x
  3. Step 3: Cross multiply
    15,006.78x = 20,709.30 × 8,382.78
  4. Step 4: Simplify right side
    15,006.78x = 173,601,505.85
  5. Step 5: Solve for x
    x = 173,601,505.85/15,006.78
  6. Step 6: Final answer
    x = 11,568.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.