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Finding the Fourth Proportional to 7,850.40, 11,775.61 and 2,919.40

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Solution

The fourth proportional to 7,850.40, 11,775.61 and 2,919.40 is: 4,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.40 : 11,775.61 = 2,919.40 : x
  2. Step 2: Convert to fraction form
    7,850.40/11,775.61 = 2,919.40/x
  3. Step 3: Cross multiply
    7,850.40x = 11,775.61 × 2,919.40
  4. Step 4: Simplify right side
    7,850.40x = 34,377,673.62
  5. Step 5: Solve for x
    x = 34,377,673.62/7,850.40
  6. Step 6: Final answer
    x = 4,379.10

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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.