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Finding the Fourth Proportional to 6,921.92, 9,550.68 and 6,684.80

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Solution

The fourth proportional to 6,921.92, 9,550.68 and 6,684.80 is: 9,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.92 : 9,550.68 = 6,684.80 : x
  2. Step 2: Convert to fraction form
    6,921.92/9,550.68 = 6,684.80/x
  3. Step 3: Cross multiply
    6,921.92x = 9,550.68 × 6,684.80
  4. Step 4: Simplify right side
    6,921.92x = 63,844,385.66
  5. Step 5: Solve for x
    x = 63,844,385.66/6,921.92
  6. Step 6: Final answer
    x = 9,223.51

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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.