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Finding the Fourth Proportional to 18,833.05, 25,978.48 and 12,116.53

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Solution

The fourth proportional to 18,833.05, 25,978.48 and 12,116.53 is: 16,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833.05 : 25,978.48 = 12,116.53 : x
  2. Step 2: Convert to fraction form
    18,833.05/25,978.48 = 12,116.53/x
  3. Step 3: Cross multiply
    18,833.05x = 25,978.48 × 12,116.53
  4. Step 4: Simplify right side
    18,833.05x = 314,769,032.27
  5. Step 5: Solve for x
    x = 314,769,032.27/18,833.05
  6. Step 6: Final answer
    x = 16,713.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.