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Finding the Fourth Proportional to 16,683.78, 25,028.46 and 7,913.91

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Solution

The fourth proportional to 16,683.78, 25,028.46 and 7,913.91 is: 11,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,683.78 : 25,028.46 = 7,913.91 : x
  2. Step 2: Convert to fraction form
    16,683.78/25,028.46 = 7,913.91/x
  3. Step 3: Cross multiply
    16,683.78x = 25,028.46 × 7,913.91
  4. Step 4: Simplify right side
    16,683.78x = 198,073,073.74
  5. Step 5: Solve for x
    x = 198,073,073.74/16,683.78
  6. Step 6: Final answer
    x = 11,872.19

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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.