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Finding the Fourth Proportional to 7,311, 10,966.50 and 2,116.92

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Solution

The fourth proportional to 7,311, 10,966.50 and 2,116.92 is: 3,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,966.50 = 2,116.92 : x
  2. Step 2: Convert to fraction form
    7,311/10,966.50 = 2,116.92/x
  3. Step 3: Cross multiply
    7,311x = 10,966.50 × 2,116.92
  4. Step 4: Simplify right side
    7,311x = 23,215,203.18
  5. Step 5: Solve for x
    x = 23,215,203.18/7,311
  6. Step 6: Final answer
    x = 3,175.38

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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.