Home / 7,311-10,961.03-2,377.70

Finding the Fourth Proportional to 7,311, 10,961.03 and 2,377.70

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Solution

The fourth proportional to 7,311, 10,961.03 and 2,377.70 is: 3,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,961.03 = 2,377.70 : x
  2. Step 2: Convert to fraction form
    7,311/10,961.03 = 2,377.70/x
  3. Step 3: Cross multiply
    7,311x = 10,961.03 × 2,377.70
  4. Step 4: Simplify right side
    7,311x = 26,061,974.34
  5. Step 5: Solve for x
    x = 26,061,974.34/7,311
  6. Step 6: Final answer
    x = 3,564.76

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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.