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Finding the Fourth Proportional to 12,668, 19,002.72 and 5,273.12

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Solution

The fourth proportional to 12,668, 19,002.72 and 5,273.12 is: 7,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668 : 19,002.72 = 5,273.12 : x
  2. Step 2: Convert to fraction form
    12,668/19,002.72 = 5,273.12/x
  3. Step 3: Cross multiply
    12,668x = 19,002.72 × 5,273.12
  4. Step 4: Simplify right side
    12,668x = 100,203,622.89
  5. Step 5: Solve for x
    x = 100,203,622.89/12,668
  6. Step 6: Final answer
    x = 7,909.98

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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.