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Finding the Fourth Proportional to 11,519, 17,282.58 and 5,679.74

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Solution

The fourth proportional to 11,519, 17,282.58 and 5,679.74 is: 8,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519 : 17,282.58 = 5,679.74 : x
  2. Step 2: Convert to fraction form
    11,519/17,282.58 = 5,679.74/x
  3. Step 3: Cross multiply
    11,519x = 17,282.58 × 5,679.74
  4. Step 4: Simplify right side
    11,519x = 98,160,560.93
  5. Step 5: Solve for x
    x = 98,160,560.93/11,519
  6. Step 6: Final answer
    x = 8,521.62

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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.