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Finding the Fourth Proportional to 3,196.41, 4,411.11 and 1,780.02

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Solution

The fourth proportional to 3,196.41, 4,411.11 and 1,780.02 is: 2,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.41 : 4,411.11 = 1,780.02 : x
  2. Step 2: Convert to fraction form
    3,196.41/4,411.11 = 1,780.02/x
  3. Step 3: Cross multiply
    3,196.41x = 4,411.11 × 1,780.02
  4. Step 4: Simplify right side
    3,196.41x = 7,851,864.02
  5. Step 5: Solve for x
    x = 7,851,864.02/3,196.41
  6. Step 6: Final answer
    x = 2,456.46

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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.