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Finding the Fourth Proportional to 5,102.37, 7,655.72 and 2,791.17

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Solution

The fourth proportional to 5,102.37, 7,655.72 and 2,791.17 is: 4,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.37 : 7,655.72 = 2,791.17 : x
  2. Step 2: Convert to fraction form
    5,102.37/7,655.72 = 2,791.17/x
  3. Step 3: Cross multiply
    5,102.37x = 7,655.72 × 2,791.17
  4. Step 4: Simplify right side
    5,102.37x = 21,368,415.99
  5. Step 5: Solve for x
    x = 21,368,415.99/5,102.37
  6. Step 6: Final answer
    x = 4,187.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.