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Finding the Fourth Proportional to 1,293.83, 1,934.78 and 960.90

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Solution

The fourth proportional to 1,293.83, 1,934.78 and 960.90 is: 1,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.83 : 1,934.78 = 960.90 : x
  2. Step 2: Convert to fraction form
    1,293.83/1,934.78 = 960.90/x
  3. Step 3: Cross multiply
    1,293.83x = 1,934.78 × 960.90
  4. Step 4: Simplify right side
    1,293.83x = 1,859,134.35
  5. Step 5: Solve for x
    x = 1,859,134.35/1,293.83
  6. Step 6: Final answer
    x = 1,436.93

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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.