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Finding the Fourth Proportional to 24,620.31, 36,935.06 and 7,978.86

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Solution

The fourth proportional to 24,620.31, 36,935.06 and 7,978.86 is: 11,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,620.31 : 36,935.06 = 7,978.86 : x
  2. Step 2: Convert to fraction form
    24,620.31/36,935.06 = 7,978.86/x
  3. Step 3: Cross multiply
    24,620.31x = 36,935.06 × 7,978.86
  4. Step 4: Simplify right side
    24,620.31x = 294,699,632.94
  5. Step 5: Solve for x
    x = 294,699,632.94/24,620.31
  6. Step 6: Final answer
    x = 11,969.78

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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.