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Finding the Fourth Proportional to 22,142.98, 33,191.39 and 9,659.65

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Solution

The fourth proportional to 22,142.98, 33,191.39 and 9,659.65 is: 14,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.98 : 33,191.39 = 9,659.65 : x
  2. Step 2: Convert to fraction form
    22,142.98/33,191.39 = 9,659.65/x
  3. Step 3: Cross multiply
    22,142.98x = 33,191.39 × 9,659.65
  4. Step 4: Simplify right side
    22,142.98x = 320,617,210.41
  5. Step 5: Solve for x
    x = 320,617,210.41/22,142.98
  6. Step 6: Final answer
    x = 14,479.41

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