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Finding the Fourth Proportional to 2,100.41, 3,149.57 and 784.10

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Solution

The fourth proportional to 2,100.41, 3,149.57 and 784.10 is: 1,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.41 : 3,149.57 = 784.10 : x
  2. Step 2: Convert to fraction form
    2,100.41/3,149.57 = 784.10/x
  3. Step 3: Cross multiply
    2,100.41x = 3,149.57 × 784.10
  4. Step 4: Simplify right side
    2,100.41x = 2,469,558.17
  5. Step 5: Solve for x
    x = 2,469,558.17/2,100.41
  6. Step 6: Final answer
    x = 1,175.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.