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Finding the Fourth Proportional to 16,805.81, 25,209 and 13,678.08

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Solution

The fourth proportional to 16,805.81, 25,209 and 13,678.08 is: 20,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.81 : 25,209 = 13,678.08 : x
  2. Step 2: Convert to fraction form
    16,805.81/25,209 = 13,678.08/x
  3. Step 3: Cross multiply
    16,805.81x = 25,209 × 13,678.08
  4. Step 4: Simplify right side
    16,805.81x = 344,810,718.72
  5. Step 5: Solve for x
    x = 344,810,718.72/16,805.81
  6. Step 6: Final answer
    x = 20,517.36

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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.