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Finding the Fourth Proportional to 3,562.69, 4,916.50 and 1,990.78

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Solution

The fourth proportional to 3,562.69, 4,916.50 and 1,990.78 is: 2,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.69 : 4,916.50 = 1,990.78 : x
  2. Step 2: Convert to fraction form
    3,562.69/4,916.50 = 1,990.78/x
  3. Step 3: Cross multiply
    3,562.69x = 4,916.50 × 1,990.78
  4. Step 4: Simplify right side
    3,562.69x = 9,787,658.75
  5. Step 5: Solve for x
    x = 9,787,658.75/3,562.69
  6. Step 6: Final answer
    x = 2,747.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.