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Finding the Fourth Proportional to 8,323.65, 11,489.76 and 5,179.23

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Solution

The fourth proportional to 8,323.65, 11,489.76 and 5,179.23 is: 7,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.65 : 11,489.76 = 5,179.23 : x
  2. Step 2: Convert to fraction form
    8,323.65/11,489.76 = 5,179.23/x
  3. Step 3: Cross multiply
    8,323.65x = 11,489.76 × 5,179.23
  4. Step 4: Simplify right side
    8,323.65x = 59,508,109.68
  5. Step 5: Solve for x
    x = 59,508,109.68/8,323.65
  6. Step 6: Final answer
    x = 7,149.28

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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.