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Finding the Fourth Proportional to 20,978.37, 31,460.85 and 6,935.78

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Solution

The fourth proportional to 20,978.37, 31,460.85 and 6,935.78 is: 10,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.37 : 31,460.85 = 6,935.78 : x
  2. Step 2: Convert to fraction form
    20,978.37/31,460.85 = 6,935.78/x
  3. Step 3: Cross multiply
    20,978.37x = 31,460.85 × 6,935.78
  4. Step 4: Simplify right side
    20,978.37x = 218,205,612.87
  5. Step 5: Solve for x
    x = 218,205,612.87/20,978.37
  6. Step 6: Final answer
    x = 10,401.46

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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.