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Finding the Fourth Proportional to 27,989.75, 41,978.36 and 16,881.14

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Solution

The fourth proportional to 27,989.75, 41,978.36 and 16,881.14 is: 25,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.75 : 41,978.36 = 16,881.14 : x
  2. Step 2: Convert to fraction form
    27,989.75/41,978.36 = 16,881.14/x
  3. Step 3: Cross multiply
    27,989.75x = 41,978.36 × 16,881.14
  4. Step 4: Simplify right side
    27,989.75x = 708,642,277.83
  5. Step 5: Solve for x
    x = 708,642,277.83/27,989.75
  6. Step 6: Final answer
    x = 25,317.93

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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.