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Finding the Fourth Proportional to 2,939, 4,407.54 and 2,205.56

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Solution

The fourth proportional to 2,939, 4,407.54 and 2,205.56 is: 3,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939 : 4,407.54 = 2,205.56 : x
  2. Step 2: Convert to fraction form
    2,939/4,407.54 = 2,205.56/x
  3. Step 3: Cross multiply
    2,939x = 4,407.54 × 2,205.56
  4. Step 4: Simplify right side
    2,939x = 9,721,093.92
  5. Step 5: Solve for x
    x = 9,721,093.92/2,939
  6. Step 6: Final answer
    x = 3,307.62

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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.