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Finding the Fourth Proportional to 2,856.32, 4,285.60 and 908.80

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Solution

The fourth proportional to 2,856.32, 4,285.60 and 908.80 is: 1,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.32 : 4,285.60 = 908.80 : x
  2. Step 2: Convert to fraction form
    2,856.32/4,285.60 = 908.80/x
  3. Step 3: Cross multiply
    2,856.32x = 4,285.60 × 908.80
  4. Step 4: Simplify right side
    2,856.32x = 3,894,753.28
  5. Step 5: Solve for x
    x = 3,894,753.28/2,856.32
  6. Step 6: Final answer
    x = 1,363.56

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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.