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Finding the Fourth Proportional to 2,382.14, 3,572.76 and 738.62

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Solution

The fourth proportional to 2,382.14, 3,572.76 and 738.62 is: 1,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.14 : 3,572.76 = 738.62 : x
  2. Step 2: Convert to fraction form
    2,382.14/3,572.76 = 738.62/x
  3. Step 3: Cross multiply
    2,382.14x = 3,572.76 × 738.62
  4. Step 4: Simplify right side
    2,382.14x = 2,638,911.99
  5. Step 5: Solve for x
    x = 2,638,911.99/2,382.14
  6. Step 6: Final answer
    x = 1,107.79

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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.