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Finding the Fourth Proportional to 12,774.78, 19,150.80 and 4,981.80

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Solution

The fourth proportional to 12,774.78, 19,150.80 and 4,981.80 is: 7,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.78 : 19,150.80 = 4,981.80 : x
  2. Step 2: Convert to fraction form
    12,774.78/19,150.80 = 4,981.80/x
  3. Step 3: Cross multiply
    12,774.78x = 19,150.80 × 4,981.80
  4. Step 4: Simplify right side
    12,774.78x = 95,405,455.44
  5. Step 5: Solve for x
    x = 95,405,455.44/12,774.78
  6. Step 6: Final answer
    x = 7,468.27

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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.