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Finding the Fourth Proportional to 27,978.06, 41,941.96 and 19,711.20

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Solution

The fourth proportional to 27,978.06, 41,941.96 and 19,711.20 is: 29,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.06 : 41,941.96 = 19,711.20 : x
  2. Step 2: Convert to fraction form
    27,978.06/41,941.96 = 19,711.20/x
  3. Step 3: Cross multiply
    27,978.06x = 41,941.96 × 19,711.20
  4. Step 4: Simplify right side
    27,978.06x = 826,726,361.95
  5. Step 5: Solve for x
    x = 826,726,361.95/27,978.06
  6. Step 6: Final answer
    x = 29,549.10

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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.