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Finding the Fourth Proportional to 7,718, 11,578.96 and 2,246

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Solution

The fourth proportional to 7,718, 11,578.96 and 2,246 is: 3,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718 : 11,578.96 = 2,246 : x
  2. Step 2: Convert to fraction form
    7,718/11,578.96 = 2,246/x
  3. Step 3: Cross multiply
    7,718x = 11,578.96 × 2,246
  4. Step 4: Simplify right side
    7,718x = 26,006,344.16
  5. Step 5: Solve for x
    x = 26,006,344.16/7,718
  6. Step 6: Final answer
    x = 3,369.57

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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.