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Finding the Fourth Proportional to 13,076.50, 19,618.08 and 3,842.50

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Solution

The fourth proportional to 13,076.50, 19,618.08 and 3,842.50 is: 5,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.50 : 19,618.08 = 3,842.50 : x
  2. Step 2: Convert to fraction form
    13,076.50/19,618.08 = 3,842.50/x
  3. Step 3: Cross multiply
    13,076.50x = 19,618.08 × 3,842.50
  4. Step 4: Simplify right side
    13,076.50x = 75,382,472.40
  5. Step 5: Solve for x
    x = 75,382,472.40/13,076.50
  6. Step 6: Final answer
    x = 5,764.73

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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.