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Finding the Fourth Proportional to 2,906.80, 4,360.86 and 958.90

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Solution

The fourth proportional to 2,906.80, 4,360.86 and 958.90 is: 1,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.80 : 4,360.86 = 958.90 : x
  2. Step 2: Convert to fraction form
    2,906.80/4,360.86 = 958.90/x
  3. Step 3: Cross multiply
    2,906.80x = 4,360.86 × 958.90
  4. Step 4: Simplify right side
    2,906.80x = 4,181,628.65
  5. Step 5: Solve for x
    x = 4,181,628.65/2,906.80
  6. Step 6: Final answer
    x = 1,438.57

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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.