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Finding the Fourth Proportional to 2,930.75, 4,393 and 2,006.04

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Solution

The fourth proportional to 2,930.75, 4,393 and 2,006.04 is: 3,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.75 : 4,393 = 2,006.04 : x
  2. Step 2: Convert to fraction form
    2,930.75/4,393 = 2,006.04/x
  3. Step 3: Cross multiply
    2,930.75x = 4,393 × 2,006.04
  4. Step 4: Simplify right side
    2,930.75x = 8,812,533.72
  5. Step 5: Solve for x
    x = 8,812,533.72/2,930.75
  6. Step 6: Final answer
    x = 3,006.92

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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.