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Finding the Fourth Proportional to 16,876.52, 25,314.78 and 5,189.48

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Solution

The fourth proportional to 16,876.52, 25,314.78 and 5,189.48 is: 7,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.52 : 25,314.78 = 5,189.48 : x
  2. Step 2: Convert to fraction form
    16,876.52/25,314.78 = 5,189.48/x
  3. Step 3: Cross multiply
    16,876.52x = 25,314.78 × 5,189.48
  4. Step 4: Simplify right side
    16,876.52x = 131,370,544.51
  5. Step 5: Solve for x
    x = 131,370,544.51/16,876.52
  6. Step 6: Final answer
    x = 7,784.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.