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Finding the Fourth Proportional to 16,746, 25,119 and 6,890.64

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Solution

The fourth proportional to 16,746, 25,119 and 6,890.64 is: 10,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746 : 25,119 = 6,890.64 : x
  2. Step 2: Convert to fraction form
    16,746/25,119 = 6,890.64/x
  3. Step 3: Cross multiply
    16,746x = 25,119 × 6,890.64
  4. Step 4: Simplify right side
    16,746x = 173,085,986.16
  5. Step 5: Solve for x
    x = 173,085,986.16/16,746
  6. Step 6: Final answer
    x = 10,335.96

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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.