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Finding the Fourth Proportional to 7,857.92, 11,785.22 and 2,309.76

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Solution

The fourth proportional to 7,857.92, 11,785.22 and 2,309.76 is: 3,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.92 : 11,785.22 = 2,309.76 : x
  2. Step 2: Convert to fraction form
    7,857.92/11,785.22 = 2,309.76/x
  3. Step 3: Cross multiply
    7,857.92x = 11,785.22 × 2,309.76
  4. Step 4: Simplify right side
    7,857.92x = 27,221,029.75
  5. Step 5: Solve for x
    x = 27,221,029.75/7,857.92
  6. Step 6: Final answer
    x = 3,464.15

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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.