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Finding the Fourth Proportional to 6,809.14, 10,166.05 and 6,391.99

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Solution

The fourth proportional to 6,809.14, 10,166.05 and 6,391.99 is: 9,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.14 : 10,166.05 = 6,391.99 : x
  2. Step 2: Convert to fraction form
    6,809.14/10,166.05 = 6,391.99/x
  3. Step 3: Cross multiply
    6,809.14x = 10,166.05 × 6,391.99
  4. Step 4: Simplify right side
    6,809.14x = 64,981,289.94
  5. Step 5: Solve for x
    x = 64,981,289.94/6,809.14
  6. Step 6: Final answer
    x = 9,543.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.