Home / 7,816.91-11,727.32-2,270.70

Finding the Fourth Proportional to 7,816.91, 11,727.32 and 2,270.70

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Solution

The fourth proportional to 7,816.91, 11,727.32 and 2,270.70 is: 3,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.91 : 11,727.32 = 2,270.70 : x
  2. Step 2: Convert to fraction form
    7,816.91/11,727.32 = 2,270.70/x
  3. Step 3: Cross multiply
    7,816.91x = 11,727.32 × 2,270.70
  4. Step 4: Simplify right side
    7,816.91x = 26,629,214.17
  5. Step 5: Solve for x
    x = 26,629,214.17/7,816.91
  6. Step 6: Final answer
    x = 3,406.62

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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.