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Finding the Fourth Proportional to 7,776.90, 11,662.11 and 2,581.74

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Solution

The fourth proportional to 7,776.90, 11,662.11 and 2,581.74 is: 3,871.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.90 : 11,662.11 = 2,581.74 : x
  2. Step 2: Convert to fraction form
    7,776.90/11,662.11 = 2,581.74/x
  3. Step 3: Cross multiply
    7,776.90x = 11,662.11 × 2,581.74
  4. Step 4: Simplify right side
    7,776.90x = 30,108,535.87
  5. Step 5: Solve for x
    x = 30,108,535.87/7,776.90
  6. Step 6: Final answer
    x = 3,871.53

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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.