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Finding the Fourth Proportional to 2,856.90, 4,285.66 and 908.65

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Solution

The fourth proportional to 2,856.90, 4,285.66 and 908.65 is: 1,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.90 : 4,285.66 = 908.65 : x
  2. Step 2: Convert to fraction form
    2,856.90/4,285.66 = 908.65/x
  3. Step 3: Cross multiply
    2,856.90x = 4,285.66 × 908.65
  4. Step 4: Simplify right side
    2,856.90x = 3,894,151.97
  5. Step 5: Solve for x
    x = 3,894,151.97/2,856.90
  6. Step 6: Final answer
    x = 1,363.07

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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.