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Finding the Fourth Proportional to 7,761.71, 11,639.72 and 2,829.89

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Solution

The fourth proportional to 7,761.71, 11,639.72 and 2,829.89 is: 4,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.71 : 11,639.72 = 2,829.89 : x
  2. Step 2: Convert to fraction form
    7,761.71/11,639.72 = 2,829.89/x
  3. Step 3: Cross multiply
    7,761.71x = 11,639.72 × 2,829.89
  4. Step 4: Simplify right side
    7,761.71x = 32,939,054.88
  5. Step 5: Solve for x
    x = 32,939,054.88/7,761.71
  6. Step 6: Final answer
    x = 4,243.79

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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.