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Finding the Fourth Proportional to 11,515, 17,278.26 and 5,275

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Solution

The fourth proportional to 11,515, 17,278.26 and 5,275 is: 7,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515 : 17,278.26 = 5,275 : x
  2. Step 2: Convert to fraction form
    11,515/17,278.26 = 5,275/x
  3. Step 3: Cross multiply
    11,515x = 17,278.26 × 5,275
  4. Step 4: Simplify right side
    11,515x = 91,142,821.50
  5. Step 5: Solve for x
    x = 91,142,821.50/11,515
  6. Step 6: Final answer
    x = 7,915.14

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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.