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Finding the Fourth Proportional to 40,978.28, 61,469.88 and 12,899.25

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Solution

The fourth proportional to 40,978.28, 61,469.88 and 12,899.25 is: 19,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.28 : 61,469.88 = 12,899.25 : x
  2. Step 2: Convert to fraction form
    40,978.28/61,469.88 = 12,899.25/x
  3. Step 3: Cross multiply
    40,978.28x = 61,469.88 × 12,899.25
  4. Step 4: Simplify right side
    40,978.28x = 792,915,042.24
  5. Step 5: Solve for x
    x = 792,915,042.24/40,978.28
  6. Step 6: Final answer
    x = 19,349.64

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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.