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Finding the Fourth Proportional to 3,196.85, 4,411.50 and 1,780.46

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Solution

The fourth proportional to 3,196.85, 4,411.50 and 1,780.46 is: 2,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.85 : 4,411.50 = 1,780.46 : x
  2. Step 2: Convert to fraction form
    3,196.85/4,411.50 = 1,780.46/x
  3. Step 3: Cross multiply
    3,196.85x = 4,411.50 × 1,780.46
  4. Step 4: Simplify right side
    3,196.85x = 7,854,477.23
  5. Step 5: Solve for x
    x = 7,854,477.23/3,196.85
  6. Step 6: Final answer
    x = 2,456.95

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