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Finding the Fourth Proportional to 2,758.06, 4,134.42 and 907.90

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Solution

The fourth proportional to 2,758.06, 4,134.42 and 907.90 is: 1,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.06 : 4,134.42 = 907.90 : x
  2. Step 2: Convert to fraction form
    2,758.06/4,134.42 = 907.90/x
  3. Step 3: Cross multiply
    2,758.06x = 4,134.42 × 907.90
  4. Step 4: Simplify right side
    2,758.06x = 3,753,639.92
  5. Step 5: Solve for x
    x = 3,753,639.92/2,758.06
  6. Step 6: Final answer
    x = 1,360.97

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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.