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Finding the Fourth Proportional to 36,978.66, 51,034.13 and 21,876.18

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Solution

The fourth proportional to 36,978.66, 51,034.13 and 21,876.18 is: 30,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.66 : 51,034.13 = 21,876.18 : x
  2. Step 2: Convert to fraction form
    36,978.66/51,034.13 = 21,876.18/x
  3. Step 3: Cross multiply
    36,978.66x = 51,034.13 × 21,876.18
  4. Step 4: Simplify right side
    36,978.66x = 1,116,431,933.65
  5. Step 5: Solve for x
    x = 1,116,431,933.65/36,978.66
  6. Step 6: Final answer
    x = 30,191.25

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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.