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Finding the Fourth Proportional to 8,424.76, 11,621.76 and 6,833.26

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Solution

The fourth proportional to 8,424.76, 11,621.76 and 6,833.26 is: 9,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.76 : 11,621.76 = 6,833.26 : x
  2. Step 2: Convert to fraction form
    8,424.76/11,621.76 = 6,833.26/x
  3. Step 3: Cross multiply
    8,424.76x = 11,621.76 × 6,833.26
  4. Step 4: Simplify right side
    8,424.76x = 79,414,504.31
  5. Step 5: Solve for x
    x = 79,414,504.31/8,424.76
  6. Step 6: Final answer
    x = 9,426.33

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Half scale
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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.