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Finding the Fourth Proportional to 2,950.99, 4,072.24 and 1,691.15

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Solution

The fourth proportional to 2,950.99, 4,072.24 and 1,691.15 is: 2,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.99 : 4,072.24 = 1,691.15 : x
  2. Step 2: Convert to fraction form
    2,950.99/4,072.24 = 1,691.15/x
  3. Step 3: Cross multiply
    2,950.99x = 4,072.24 × 1,691.15
  4. Step 4: Simplify right side
    2,950.99x = 6,886,750.43
  5. Step 5: Solve for x
    x = 6,886,750.43/2,950.99
  6. Step 6: Final answer
    x = 2,333.71

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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.