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Finding the Fourth Proportional to 7,761.74, 11,643.30 and 2,214.98

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Solution

The fourth proportional to 7,761.74, 11,643.30 and 2,214.98 is: 3,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.74 : 11,643.30 = 2,214.98 : x
  2. Step 2: Convert to fraction form
    7,761.74/11,643.30 = 2,214.98/x
  3. Step 3: Cross multiply
    7,761.74x = 11,643.30 × 2,214.98
  4. Step 4: Simplify right side
    7,761.74x = 25,789,676.63
  5. Step 5: Solve for x
    x = 25,789,676.63/7,761.74
  6. Step 6: Final answer
    x = 3,322.67

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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.