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Finding the Fourth Proportional to 8,722.86, 13,084.30 and 7,177.62

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Solution

The fourth proportional to 8,722.86, 13,084.30 and 7,177.62 is: 10,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.86 : 13,084.30 = 7,177.62 : x
  2. Step 2: Convert to fraction form
    8,722.86/13,084.30 = 7,177.62/x
  3. Step 3: Cross multiply
    8,722.86x = 13,084.30 × 7,177.62
  4. Step 4: Simplify right side
    8,722.86x = 93,914,133.37
  5. Step 5: Solve for x
    x = 93,914,133.37/8,722.86
  6. Step 6: Final answer
    x = 10,766.44

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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.