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Finding the Fourth Proportional to 2,815.18, 4,222.39 and 735.33

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Solution

The fourth proportional to 2,815.18, 4,222.39 and 735.33 is: 1,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.18 : 4,222.39 = 735.33 : x
  2. Step 2: Convert to fraction form
    2,815.18/4,222.39 = 735.33/x
  3. Step 3: Cross multiply
    2,815.18x = 4,222.39 × 735.33
  4. Step 4: Simplify right side
    2,815.18x = 3,104,850.04
  5. Step 5: Solve for x
    x = 3,104,850.04/2,815.18
  6. Step 6: Final answer
    x = 1,102.90

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1.5x scale

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.