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Finding the Fourth Proportional to 8,771.68, 12,107.81 and 6,982.45

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Solution

The fourth proportional to 8,771.68, 12,107.81 and 6,982.45 is: 9,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.68 : 12,107.81 = 6,982.45 : x
  2. Step 2: Convert to fraction form
    8,771.68/12,107.81 = 6,982.45/x
  3. Step 3: Cross multiply
    8,771.68x = 12,107.81 × 6,982.45
  4. Step 4: Simplify right side
    8,771.68x = 84,542,177.93
  5. Step 5: Solve for x
    x = 84,542,177.93/8,771.68
  6. Step 6: Final answer
    x = 9,638.08

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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.