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Finding the Fourth Proportional to 17,825, 26,727.69 and 12,209.15

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Solution

The fourth proportional to 17,825, 26,727.69 and 12,209.15 is: 18,307.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825 : 26,727.69 = 12,209.15 : x
  2. Step 2: Convert to fraction form
    17,825/26,727.69 = 12,209.15/x
  3. Step 3: Cross multiply
    17,825x = 26,727.69 × 12,209.15
  4. Step 4: Simplify right side
    17,825x = 326,322,376.36
  5. Step 5: Solve for x
    x = 326,322,376.36/17,825
  6. Step 6: Final answer
    x = 18,307.01

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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.