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Finding the Fourth Proportional to 2,235, 3,352.50 and 1,619.02

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Solution

The fourth proportional to 2,235, 3,352.50 and 1,619.02 is: 2,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235 : 3,352.50 = 1,619.02 : x
  2. Step 2: Convert to fraction form
    2,235/3,352.50 = 1,619.02/x
  3. Step 3: Cross multiply
    2,235x = 3,352.50 × 1,619.02
  4. Step 4: Simplify right side
    2,235x = 5,427,764.55
  5. Step 5: Solve for x
    x = 5,427,764.55/2,235
  6. Step 6: Final answer
    x = 2,428.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.