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Finding the Fourth Proportional to 2,930.05, 4,394.94 and 849.99

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Solution

The fourth proportional to 2,930.05, 4,394.94 and 849.99 is: 1,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.05 : 4,394.94 = 849.99 : x
  2. Step 2: Convert to fraction form
    2,930.05/4,394.94 = 849.99/x
  3. Step 3: Cross multiply
    2,930.05x = 4,394.94 × 849.99
  4. Step 4: Simplify right side
    2,930.05x = 3,735,655.05
  5. Step 5: Solve for x
    x = 3,735,655.05/2,930.05
  6. Step 6: Final answer
    x = 1,274.95

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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.