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Finding the Fourth Proportional to 2,857.76, 4,286.60 and 910.10

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Solution

The fourth proportional to 2,857.76, 4,286.60 and 910.10 is: 1,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.76 : 4,286.60 = 910.10 : x
  2. Step 2: Convert to fraction form
    2,857.76/4,286.60 = 910.10/x
  3. Step 3: Cross multiply
    2,857.76x = 4,286.60 × 910.10
  4. Step 4: Simplify right side
    2,857.76x = 3,901,234.66
  5. Step 5: Solve for x
    x = 3,901,234.66/2,857.76
  6. Step 6: Final answer
    x = 1,365.14

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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.