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Finding the Fourth Proportional to 13,107.78, 19,615.48 and 8,179.74

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Solution

The fourth proportional to 13,107.78, 19,615.48 and 8,179.74 is: 12,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.78 : 19,615.48 = 8,179.74 : x
  2. Step 2: Convert to fraction form
    13,107.78/19,615.48 = 8,179.74/x
  3. Step 3: Cross multiply
    13,107.78x = 19,615.48 × 8,179.74
  4. Step 4: Simplify right side
    13,107.78x = 160,449,526.38
  5. Step 5: Solve for x
    x = 160,449,526.38/13,107.78
  6. Step 6: Final answer
    x = 12,240.79

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1.5x scale

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.