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Finding the Fourth Proportional to 2,296.52, 3,444.78 and 910.18

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Solution

The fourth proportional to 2,296.52, 3,444.78 and 910.18 is: 1,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.52 : 3,444.78 = 910.18 : x
  2. Step 2: Convert to fraction form
    2,296.52/3,444.78 = 910.18/x
  3. Step 3: Cross multiply
    2,296.52x = 3,444.78 × 910.18
  4. Step 4: Simplify right side
    2,296.52x = 3,135,369.86
  5. Step 5: Solve for x
    x = 3,135,369.86/2,296.52
  6. Step 6: Final answer
    x = 1,365.27

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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.