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Finding the Fourth Proportional to 12,770.62, 19,168 and 7,849.86

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Solution

The fourth proportional to 12,770.62, 19,168 and 7,849.86 is: 11,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.62 : 19,168 = 7,849.86 : x
  2. Step 2: Convert to fraction form
    12,770.62/19,168 = 7,849.86/x
  3. Step 3: Cross multiply
    12,770.62x = 19,168 × 7,849.86
  4. Step 4: Simplify right side
    12,770.62x = 150,466,116.48
  5. Step 5: Solve for x
    x = 150,466,116.48/12,770.62
  6. Step 6: Final answer
    x = 11,782.21

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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.