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Finding the Fourth Proportional to 2,732.94, 4,099.41 and 785.14

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Solution

The fourth proportional to 2,732.94, 4,099.41 and 785.14 is: 1,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.94 : 4,099.41 = 785.14 : x
  2. Step 2: Convert to fraction form
    2,732.94/4,099.41 = 785.14/x
  3. Step 3: Cross multiply
    2,732.94x = 4,099.41 × 785.14
  4. Step 4: Simplify right side
    2,732.94x = 3,218,623.58
  5. Step 5: Solve for x
    x = 3,218,623.58/2,732.94
  6. Step 6: Final answer
    x = 1,177.71

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1.5x scale

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.