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Finding the Fourth Proportional to 8,722.65, 13,083.98 and 3,789.60

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Solution

The fourth proportional to 8,722.65, 13,083.98 and 3,789.60 is: 5,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.65 : 13,083.98 = 3,789.60 : x
  2. Step 2: Convert to fraction form
    8,722.65/13,083.98 = 3,789.60/x
  3. Step 3: Cross multiply
    8,722.65x = 13,083.98 × 3,789.60
  4. Step 4: Simplify right side
    8,722.65x = 49,583,050.61
  5. Step 5: Solve for x
    x = 49,583,050.61/8,722.65
  6. Step 6: Final answer
    x = 5,684.40

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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.