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Finding the Fourth Proportional to 2,338.13, 3,504.11 and 952.50

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Solution

The fourth proportional to 2,338.13, 3,504.11 and 952.50 is: 1,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.13 : 3,504.11 = 952.50 : x
  2. Step 2: Convert to fraction form
    2,338.13/3,504.11 = 952.50/x
  3. Step 3: Cross multiply
    2,338.13x = 3,504.11 × 952.50
  4. Step 4: Simplify right side
    2,338.13x = 3,337,660.92
  5. Step 5: Solve for x
    x = 3,337,660.92/2,338.13
  6. Step 6: Final answer
    x = 1,427.49

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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.