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Finding the Fourth Proportional to 2,939.70, 4,409.55 and 2,290.92

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Solution

The fourth proportional to 2,939.70, 4,409.55 and 2,290.92 is: 3,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.70 : 4,409.55 = 2,290.92 : x
  2. Step 2: Convert to fraction form
    2,939.70/4,409.55 = 2,290.92/x
  3. Step 3: Cross multiply
    2,939.70x = 4,409.55 × 2,290.92
  4. Step 4: Simplify right side
    2,939.70x = 10,101,926.29
  5. Step 5: Solve for x
    x = 10,101,926.29/2,939.70
  6. Step 6: Final answer
    x = 3,436.38

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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.