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Finding the Fourth Proportional to 8,402.65, 12,606.78 and 3,722.02

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Solution

The fourth proportional to 8,402.65, 12,606.78 and 3,722.02 is: 5,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.65 : 12,606.78 = 3,722.02 : x
  2. Step 2: Convert to fraction form
    8,402.65/12,606.78 = 3,722.02/x
  3. Step 3: Cross multiply
    8,402.65x = 12,606.78 × 3,722.02
  4. Step 4: Simplify right side
    8,402.65x = 46,922,687.30
  5. Step 5: Solve for x
    x = 46,922,687.30/8,402.65
  6. Step 6: Final answer
    x = 5,584.27

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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.