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Finding the Fourth Proportional to 1,936.08, 2,902.13 and 765.61

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Solution

The fourth proportional to 1,936.08, 2,902.13 and 765.61 is: 1,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.08 : 2,902.13 = 765.61 : x
  2. Step 2: Convert to fraction form
    1,936.08/2,902.13 = 765.61/x
  3. Step 3: Cross multiply
    1,936.08x = 2,902.13 × 765.61
  4. Step 4: Simplify right side
    1,936.08x = 2,221,888.67
  5. Step 5: Solve for x
    x = 2,221,888.67/1,936.08
  6. Step 6: Final answer
    x = 1,147.62

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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.