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Finding the Fourth Proportional to 3,605.74, 4,974.78 and 2,113.90

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Solution

The fourth proportional to 3,605.74, 4,974.78 and 2,113.90 is: 2,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.74 : 4,974.78 = 2,113.90 : x
  2. Step 2: Convert to fraction form
    3,605.74/4,974.78 = 2,113.90/x
  3. Step 3: Cross multiply
    3,605.74x = 4,974.78 × 2,113.90
  4. Step 4: Simplify right side
    3,605.74x = 10,516,187.44
  5. Step 5: Solve for x
    x = 10,516,187.44/3,605.74
  6. Step 6: Final answer
    x = 2,916.51

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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.