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Finding the Fourth Proportional to 7,788.87, 11,683.32 and 2,858.91

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Solution

The fourth proportional to 7,788.87, 11,683.32 and 2,858.91 is: 4,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.87 : 11,683.32 = 2,858.91 : x
  2. Step 2: Convert to fraction form
    7,788.87/11,683.32 = 2,858.91/x
  3. Step 3: Cross multiply
    7,788.87x = 11,683.32 × 2,858.91
  4. Step 4: Simplify right side
    7,788.87x = 33,401,560.38
  5. Step 5: Solve for x
    x = 33,401,560.38/7,788.87
  6. Step 6: Final answer
    x = 4,288.37

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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.