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Finding the Fourth Proportional to 27,878.78, 41,825.90 and 12,890.48

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Solution

The fourth proportional to 27,878.78, 41,825.90 and 12,890.48 is: 19,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.78 : 41,825.90 = 12,890.48 : x
  2. Step 2: Convert to fraction form
    27,878.78/41,825.90 = 12,890.48/x
  3. Step 3: Cross multiply
    27,878.78x = 41,825.90 × 12,890.48
  4. Step 4: Simplify right side
    27,878.78x = 539,155,750.53
  5. Step 5: Solve for x
    x = 539,155,750.53/27,878.78
  6. Step 6: Final answer
    x = 19,339.29

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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.