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Finding the Fourth Proportional to 2,453.71, 3,680.56 and 2,019.11

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Solution

The fourth proportional to 2,453.71, 3,680.56 and 2,019.11 is: 3,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.71 : 3,680.56 = 2,019.11 : x
  2. Step 2: Convert to fraction form
    2,453.71/3,680.56 = 2,019.11/x
  3. Step 3: Cross multiply
    2,453.71x = 3,680.56 × 2,019.11
  4. Step 4: Simplify right side
    2,453.71x = 7,431,455.50
  5. Step 5: Solve for x
    x = 7,431,455.50/2,453.71
  6. Step 6: Final answer
    x = 3,028.66

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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.