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Finding the Fourth Proportional to 5,175.95, 7,768.77 and 2,712.53

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Solution

The fourth proportional to 5,175.95, 7,768.77 and 2,712.53 is: 4,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.95 : 7,768.77 = 2,712.53 : x
  2. Step 2: Convert to fraction form
    5,175.95/7,768.77 = 2,712.53/x
  3. Step 3: Cross multiply
    5,175.95x = 7,768.77 × 2,712.53
  4. Step 4: Simplify right side
    5,175.95x = 21,072,982.84
  5. Step 5: Solve for x
    x = 21,072,982.84/5,175.95
  6. Step 6: Final answer
    x = 4,071.33

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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.