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Finding the Fourth Proportional to 21,169.80, 31,740.30 and 10,081.80

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Solution

The fourth proportional to 21,169.80, 31,740.30 and 10,081.80 is: 15,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,169.80 : 31,740.30 = 10,081.80 : x
  2. Step 2: Convert to fraction form
    21,169.80/31,740.30 = 10,081.80/x
  3. Step 3: Cross multiply
    21,169.80x = 31,740.30 × 10,081.80
  4. Step 4: Simplify right side
    21,169.80x = 319,999,356.54
  5. Step 5: Solve for x
    x = 319,999,356.54/21,169.80
  6. Step 6: Final answer
    x = 15,115.84

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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.