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Finding the Fourth Proportional to 7,760.65, 11,633.76 and 2,829.17

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Solution

The fourth proportional to 7,760.65, 11,633.76 and 2,829.17 is: 4,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.65 : 11,633.76 = 2,829.17 : x
  2. Step 2: Convert to fraction form
    7,760.65/11,633.76 = 2,829.17/x
  3. Step 3: Cross multiply
    7,760.65x = 11,633.76 × 2,829.17
  4. Step 4: Simplify right side
    7,760.65x = 32,913,884.78
  5. Step 5: Solve for x
    x = 32,913,884.78/7,760.65
  6. Step 6: Final answer
    x = 4,241.12

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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.