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Finding the Fourth Proportional to 6,991, 10,487.10 and 2,311

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Solution

The fourth proportional to 6,991, 10,487.10 and 2,311 is: 3,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991 : 10,487.10 = 2,311 : x
  2. Step 2: Convert to fraction form
    6,991/10,487.10 = 2,311/x
  3. Step 3: Cross multiply
    6,991x = 10,487.10 × 2,311
  4. Step 4: Simplify right side
    6,991x = 24,235,688.10
  5. Step 5: Solve for x
    x = 24,235,688.10/6,991
  6. Step 6: Final answer
    x = 3,466.70

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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.