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Finding the Fourth Proportional to 15,012.83, 20,717.78 and 8,206.86

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Solution

The fourth proportional to 15,012.83, 20,717.78 and 8,206.86 is: 11,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012.83 : 20,717.78 = 8,206.86 : x
  2. Step 2: Convert to fraction form
    15,012.83/20,717.78 = 8,206.86/x
  3. Step 3: Cross multiply
    15,012.83x = 20,717.78 × 8,206.86
  4. Step 4: Simplify right side
    15,012.83x = 170,027,919.97
  5. Step 5: Solve for x
    x = 170,027,919.97/15,012.83
  6. Step 6: Final answer
    x = 11,325.51

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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.