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Finding the Fourth Proportional to 7,757.81, 11,626.31 and 3,803.00

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Solution

The fourth proportional to 7,757.81, 11,626.31 and 3,803.00 is: 5,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.81 : 11,626.31 = 3,803.00 : x
  2. Step 2: Convert to fraction form
    7,757.81/11,626.31 = 3,803.00/x
  3. Step 3: Cross multiply
    7,757.81x = 11,626.31 × 3,803.00
  4. Step 4: Simplify right side
    7,757.81x = 44,214,895.50
  5. Step 5: Solve for x
    x = 44,214,895.50/7,757.81
  6. Step 6: Final answer
    x = 5,699.41

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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.