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Finding the Fourth Proportional to 7,866.92, 11,800.38 and 2,930.78

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Solution

The fourth proportional to 7,866.92, 11,800.38 and 2,930.78 is: 4,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.92 : 11,800.38 = 2,930.78 : x
  2. Step 2: Convert to fraction form
    7,866.92/11,800.38 = 2,930.78/x
  3. Step 3: Cross multiply
    7,866.92x = 11,800.38 × 2,930.78
  4. Step 4: Simplify right side
    7,866.92x = 34,584,317.70
  5. Step 5: Solve for x
    x = 34,584,317.70/7,866.92
  6. Step 6: Final answer
    x = 4,396.17

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1.5x scale

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.