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Finding the Fourth Proportional to 7,761.53, 11,642.40 and 2,214.87

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Solution

The fourth proportional to 7,761.53, 11,642.40 and 2,214.87 is: 3,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.53 : 11,642.40 = 2,214.87 : x
  2. Step 2: Convert to fraction form
    7,761.53/11,642.40 = 2,214.87/x
  3. Step 3: Cross multiply
    7,761.53x = 11,642.40 × 2,214.87
  4. Step 4: Simplify right side
    7,761.53x = 25,786,372.35
  5. Step 5: Solve for x
    x = 25,786,372.35/7,761.53
  6. Step 6: Final answer
    x = 3,322.33

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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.