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Finding the Fourth Proportional to 3,208.88, 4,428.72 and 1,882.40

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Solution

The fourth proportional to 3,208.88, 4,428.72 and 1,882.40 is: 2,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.88 : 4,428.72 = 1,882.40 : x
  2. Step 2: Convert to fraction form
    3,208.88/4,428.72 = 1,882.40/x
  3. Step 3: Cross multiply
    3,208.88x = 4,428.72 × 1,882.40
  4. Step 4: Simplify right side
    3,208.88x = 8,336,622.53
  5. Step 5: Solve for x
    x = 8,336,622.53/3,208.88
  6. Step 6: Final answer
    x = 2,597.99

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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.