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Finding the Fourth Proportional to 16,789.77, 25,164 and 7,419.69

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Solution

The fourth proportional to 16,789.77, 25,164 and 7,419.69 is: 11,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789.77 : 25,164 = 7,419.69 : x
  2. Step 2: Convert to fraction form
    16,789.77/25,164 = 7,419.69/x
  3. Step 3: Cross multiply
    16,789.77x = 25,164 × 7,419.69
  4. Step 4: Simplify right side
    16,789.77x = 186,709,079.16
  5. Step 5: Solve for x
    x = 186,709,079.16/16,789.77
  6. Step 6: Final answer
    x = 11,120.41

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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.