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Finding the Fourth Proportional to 2,352.02, 3,528.42 and 966.10

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Solution

The fourth proportional to 2,352.02, 3,528.42 and 966.10 is: 1,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.02 : 3,528.42 = 966.10 : x
  2. Step 2: Convert to fraction form
    2,352.02/3,528.42 = 966.10/x
  3. Step 3: Cross multiply
    2,352.02x = 3,528.42 × 966.10
  4. Step 4: Simplify right side
    2,352.02x = 3,408,806.56
  5. Step 5: Solve for x
    x = 3,408,806.56/2,352.02
  6. Step 6: Final answer
    x = 1,449.31

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