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Finding the Fourth Proportional to 5,208.53, 7,187.81 and 2,850.71

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Solution

The fourth proportional to 5,208.53, 7,187.81 and 2,850.71 is: 3,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.53 : 7,187.81 = 2,850.71 : x
  2. Step 2: Convert to fraction form
    5,208.53/7,187.81 = 2,850.71/x
  3. Step 3: Cross multiply
    5,208.53x = 7,187.81 × 2,850.71
  4. Step 4: Simplify right side
    5,208.53x = 20,490,311.65
  5. Step 5: Solve for x
    x = 20,490,311.65/5,208.53
  6. Step 6: Final answer
    x = 3,934.00

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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.