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Finding the Fourth Proportional to 5,791, 7,998.18 and 3,924.76

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Solution

The fourth proportional to 5,791, 7,998.18 and 3,924.76 is: 5,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791 : 7,998.18 = 3,924.76 : x
  2. Step 2: Convert to fraction form
    5,791/7,998.18 = 3,924.76/x
  3. Step 3: Cross multiply
    5,791x = 7,998.18 × 3,924.76
  4. Step 4: Simplify right side
    5,791x = 31,390,936.94
  5. Step 5: Solve for x
    x = 31,390,936.94/5,791
  6. Step 6: Final answer
    x = 5,420.64

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