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Finding the Fourth Proportional to 2,856.64, 4,285 and 910.48

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Solution

The fourth proportional to 2,856.64, 4,285 and 910.48 is: 1,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.64 : 4,285 = 910.48 : x
  2. Step 2: Convert to fraction form
    2,856.64/4,285 = 910.48/x
  3. Step 3: Cross multiply
    2,856.64x = 4,285 × 910.48
  4. Step 4: Simplify right side
    2,856.64x = 3,901,406.80
  5. Step 5: Solve for x
    x = 3,901,406.80/2,856.64
  6. Step 6: Final answer
    x = 1,365.73

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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.