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Finding the Fourth Proportional to 2,882.98, 3,978.72 and 1,624.24

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Solution

The fourth proportional to 2,882.98, 3,978.72 and 1,624.24 is: 2,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.98 : 3,978.72 = 1,624.24 : x
  2. Step 2: Convert to fraction form
    2,882.98/3,978.72 = 1,624.24/x
  3. Step 3: Cross multiply
    2,882.98x = 3,978.72 × 1,624.24
  4. Step 4: Simplify right side
    2,882.98x = 6,462,396.17
  5. Step 5: Solve for x
    x = 6,462,396.17/2,882.98
  6. Step 6: Final answer
    x = 2,241.57

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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.