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Finding the Fourth Proportional to 2,152.52, 3,228.78 and 613.52

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Solution

The fourth proportional to 2,152.52, 3,228.78 and 613.52 is: 920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.52 : 3,228.78 = 613.52 : x
  2. Step 2: Convert to fraction form
    2,152.52/3,228.78 = 613.52/x
  3. Step 3: Cross multiply
    2,152.52x = 3,228.78 × 613.52
  4. Step 4: Simplify right side
    2,152.52x = 1,980,921.11
  5. Step 5: Solve for x
    x = 1,980,921.11/2,152.52
  6. Step 6: Final answer
    x = 920.28

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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.