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Finding the Fourth Proportional to 5,791, 7,991.64 and 3,307

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Solution

The fourth proportional to 5,791, 7,991.64 and 3,307 is: 4,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791 : 7,991.64 = 3,307 : x
  2. Step 2: Convert to fraction form
    5,791/7,991.64 = 3,307/x
  3. Step 3: Cross multiply
    5,791x = 7,991.64 × 3,307
  4. Step 4: Simplify right side
    5,791x = 26,428,353.48
  5. Step 5: Solve for x
    x = 26,428,353.48/5,791
  6. Step 6: Final answer
    x = 4,563.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.