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Finding the Fourth Proportional to 12,963.16, 19,441.86 and 5,169.88

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Solution

The fourth proportional to 12,963.16, 19,441.86 and 5,169.88 is: 7,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.16 : 19,441.86 = 5,169.88 : x
  2. Step 2: Convert to fraction form
    12,963.16/19,441.86 = 5,169.88/x
  3. Step 3: Cross multiply
    12,963.16x = 19,441.86 × 5,169.88
  4. Step 4: Simplify right side
    12,963.16x = 100,512,083.18
  5. Step 5: Solve for x
    x = 100,512,083.18/12,963.16
  6. Step 6: Final answer
    x = 7,753.67

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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.