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Finding the Fourth Proportional to 2,152.57, 3,229.33 and 854.01

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Solution

The fourth proportional to 2,152.57, 3,229.33 and 854.01 is: 1,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.57 : 3,229.33 = 854.01 : x
  2. Step 2: Convert to fraction form
    2,152.57/3,229.33 = 854.01/x
  3. Step 3: Cross multiply
    2,152.57x = 3,229.33 × 854.01
  4. Step 4: Simplify right side
    2,152.57x = 2,757,880.11
  5. Step 5: Solve for x
    x = 2,757,880.11/2,152.57
  6. Step 6: Final answer
    x = 1,281.20

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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.