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Finding the Fourth Proportional to 36,978.50, 51,031.14 and 20,211.50

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Solution

The fourth proportional to 36,978.50, 51,031.14 and 20,211.50 is: 27,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.50 : 51,031.14 = 20,211.50 : x
  2. Step 2: Convert to fraction form
    36,978.50/51,031.14 = 20,211.50/x
  3. Step 3: Cross multiply
    36,978.50x = 51,031.14 × 20,211.50
  4. Step 4: Simplify right side
    36,978.50x = 1,031,415,886.11
  5. Step 5: Solve for x
    x = 1,031,415,886.11/36,978.50
  6. Step 6: Final answer
    x = 27,892.31

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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.