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Finding the Fourth Proportional to 36,978.75, 55,456.38 and 12,013.02

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Solution

The fourth proportional to 36,978.75, 55,456.38 and 12,013.02 is: 18,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.75 : 55,456.38 = 12,013.02 : x
  2. Step 2: Convert to fraction form
    36,978.75/55,456.38 = 12,013.02/x
  3. Step 3: Cross multiply
    36,978.75x = 55,456.38 × 12,013.02
  4. Step 4: Simplify right side
    36,978.75x = 666,198,602.07
  5. Step 5: Solve for x
    x = 666,198,602.07/36,978.75
  6. Step 6: Final answer
    x = 18,015.71

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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.