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Finding the Fourth Proportional to 7,807.92, 11,716.20 and 3,194.16

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Solution

The fourth proportional to 7,807.92, 11,716.20 and 3,194.16 is: 4,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.92 : 11,716.20 = 3,194.16 : x
  2. Step 2: Convert to fraction form
    7,807.92/11,716.20 = 3,194.16/x
  3. Step 3: Cross multiply
    7,807.92x = 11,716.20 × 3,194.16
  4. Step 4: Simplify right side
    7,807.92x = 37,423,417.39
  5. Step 5: Solve for x
    x = 37,423,417.39/7,807.92
  6. Step 6: Final answer
    x = 4,793.01

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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.