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Finding the Fourth Proportional to 6,786.90, 10,189.01 and 6,717.04

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Solution

The fourth proportional to 6,786.90, 10,189.01 and 6,717.04 is: 10,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.90 : 10,189.01 = 6,717.04 : x
  2. Step 2: Convert to fraction form
    6,786.90/10,189.01 = 6,717.04/x
  3. Step 3: Cross multiply
    6,786.90x = 10,189.01 × 6,717.04
  4. Step 4: Simplify right side
    6,786.90x = 68,439,979.05
  5. Step 5: Solve for x
    x = 68,439,979.05/6,786.90
  6. Step 6: Final answer
    x = 10,084.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.