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Finding the Fourth Proportional to 2,225.87, 3,338.58 and 765.13

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Solution

The fourth proportional to 2,225.87, 3,338.58 and 765.13 is: 1,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.87 : 3,338.58 = 765.13 : x
  2. Step 2: Convert to fraction form
    2,225.87/3,338.58 = 765.13/x
  3. Step 3: Cross multiply
    2,225.87x = 3,338.58 × 765.13
  4. Step 4: Simplify right side
    2,225.87x = 2,554,431.02
  5. Step 5: Solve for x
    x = 2,554,431.02/2,225.87
  6. Step 6: Final answer
    x = 1,147.61

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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.