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Finding the Fourth Proportional to 2,453.87, 3,681.81 and 992.64

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Solution

The fourth proportional to 2,453.87, 3,681.81 and 992.64 is: 1,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.87 : 3,681.81 = 992.64 : x
  2. Step 2: Convert to fraction form
    2,453.87/3,681.81 = 992.64/x
  3. Step 3: Cross multiply
    2,453.87x = 3,681.81 × 992.64
  4. Step 4: Simplify right side
    2,453.87x = 3,654,711.88
  5. Step 5: Solve for x
    x = 3,654,711.88/2,453.87
  6. Step 6: Final answer
    x = 1,489.37

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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.