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Finding the Fourth Proportional to 2,856.67, 4,285.64 and 908.75

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Solution

The fourth proportional to 2,856.67, 4,285.64 and 908.75 is: 1,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.67 : 4,285.64 = 908.75 : x
  2. Step 2: Convert to fraction form
    2,856.67/4,285.64 = 908.75/x
  3. Step 3: Cross multiply
    2,856.67x = 4,285.64 × 908.75
  4. Step 4: Simplify right side
    2,856.67x = 3,894,575.35
  5. Step 5: Solve for x
    x = 3,894,575.35/2,856.67
  6. Step 6: Final answer
    x = 1,363.33

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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.