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Finding the Fourth Proportional to 36,978.28, 51,029.94 and 20,211.40

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Solution

The fourth proportional to 36,978.28, 51,029.94 and 20,211.40 is: 27,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.28 : 51,029.94 = 20,211.40 : x
  2. Step 2: Convert to fraction form
    36,978.28/51,029.94 = 20,211.40/x
  3. Step 3: Cross multiply
    36,978.28x = 51,029.94 × 20,211.40
  4. Step 4: Simplify right side
    36,978.28x = 1,031,386,529.32
  5. Step 5: Solve for x
    x = 1,031,386,529.32/36,978.28
  6. Step 6: Final answer
    x = 27,891.68

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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.