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Finding the Fourth Proportional to 3,662.61, 5,052.78 and 2,169.51

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Solution

The fourth proportional to 3,662.61, 5,052.78 and 2,169.51 is: 2,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.61 : 5,052.78 = 2,169.51 : x
  2. Step 2: Convert to fraction form
    3,662.61/5,052.78 = 2,169.51/x
  3. Step 3: Cross multiply
    3,662.61x = 5,052.78 × 2,169.51
  4. Step 4: Simplify right side
    3,662.61x = 10,962,056.74
  5. Step 5: Solve for x
    x = 10,962,056.74/3,662.61
  6. Step 6: Final answer
    x = 2,992.96

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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.