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Finding the Fourth Proportional to 6,614.92, 9,129.31 and 4,227.09

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Solution

The fourth proportional to 6,614.92, 9,129.31 and 4,227.09 is: 5,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.92 : 9,129.31 = 4,227.09 : x
  2. Step 2: Convert to fraction form
    6,614.92/9,129.31 = 4,227.09/x
  3. Step 3: Cross multiply
    6,614.92x = 9,129.31 × 4,227.09
  4. Step 4: Simplify right side
    6,614.92x = 38,590,370.21
  5. Step 5: Solve for x
    x = 38,590,370.21/6,614.92
  6. Step 6: Final answer
    x = 5,833.84

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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.