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Finding the Fourth Proportional to 3,605, 4,974.90 and 1,949

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Solution

The fourth proportional to 3,605, 4,974.90 and 1,949 is: 2,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605 : 4,974.90 = 1,949 : x
  2. Step 2: Convert to fraction form
    3,605/4,974.90 = 1,949/x
  3. Step 3: Cross multiply
    3,605x = 4,974.90 × 1,949
  4. Step 4: Simplify right side
    3,605x = 9,696,080.10
  5. Step 5: Solve for x
    x = 9,696,080.10/3,605
  6. Step 6: Final answer
    x = 2,689.62

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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.