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Finding the Fourth Proportional to 7,140.84, 9,854.49 and 3,997.02

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Solution

The fourth proportional to 7,140.84, 9,854.49 and 3,997.02 is: 5,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.84 : 9,854.49 = 3,997.02 : x
  2. Step 2: Convert to fraction form
    7,140.84/9,854.49 = 3,997.02/x
  3. Step 3: Cross multiply
    7,140.84x = 9,854.49 × 3,997.02
  4. Step 4: Simplify right side
    7,140.84x = 39,388,593.62
  5. Step 5: Solve for x
    x = 39,388,593.62/7,140.84
  6. Step 6: Final answer
    x = 5,515.96

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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.