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Finding the Fourth Proportional to 6,715.67, 10,078.64 and 3,387.24

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Solution

The fourth proportional to 6,715.67, 10,078.64 and 3,387.24 is: 5,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.67 : 10,078.64 = 3,387.24 : x
  2. Step 2: Convert to fraction form
    6,715.67/10,078.64 = 3,387.24/x
  3. Step 3: Cross multiply
    6,715.67x = 10,078.64 × 3,387.24
  4. Step 4: Simplify right side
    6,715.67x = 34,138,781.02
  5. Step 5: Solve for x
    x = 34,138,781.02/6,715.67
  6. Step 6: Final answer
    x = 5,083.46

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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.