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Finding the Fourth Proportional to 10,992.99, 15,170.40 and 6,519

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Solution

The fourth proportional to 10,992.99, 15,170.40 and 6,519 is: 8,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.99 : 15,170.40 = 6,519 : x
  2. Step 2: Convert to fraction form
    10,992.99/15,170.40 = 6,519/x
  3. Step 3: Cross multiply
    10,992.99x = 15,170.40 × 6,519
  4. Step 4: Simplify right side
    10,992.99x = 98,895,837.60
  5. Step 5: Solve for x
    x = 98,895,837.60/10,992.99
  6. Step 6: Final answer
    x = 8,996.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.