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Finding the Fourth Proportional to 17,523, 26,284.68 and 5,211

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Solution

The fourth proportional to 17,523, 26,284.68 and 5,211 is: 7,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523 : 26,284.68 = 5,211 : x
  2. Step 2: Convert to fraction form
    17,523/26,284.68 = 5,211/x
  3. Step 3: Cross multiply
    17,523x = 26,284.68 × 5,211
  4. Step 4: Simplify right side
    17,523x = 136,969,467.48
  5. Step 5: Solve for x
    x = 136,969,467.48/17,523
  6. Step 6: Final answer
    x = 7,816.55

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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.