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Finding the Fourth Proportional to 5,187.67, 7,777.14 and 2,412.93

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Solution

The fourth proportional to 5,187.67, 7,777.14 and 2,412.93 is: 3,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.67 : 7,777.14 = 2,412.93 : x
  2. Step 2: Convert to fraction form
    5,187.67/7,777.14 = 2,412.93/x
  3. Step 3: Cross multiply
    5,187.67x = 7,777.14 × 2,412.93
  4. Step 4: Simplify right side
    5,187.67x = 18,765,694.42
  5. Step 5: Solve for x
    x = 18,765,694.42/5,187.67
  6. Step 6: Final answer
    x = 3,617.36

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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.