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Finding the Fourth Proportional to 2,167.81, 3,242.90 and 1,643.94

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Solution

The fourth proportional to 2,167.81, 3,242.90 and 1,643.94 is: 2,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.81 : 3,242.90 = 1,643.94 : x
  2. Step 2: Convert to fraction form
    2,167.81/3,242.90 = 1,643.94/x
  3. Step 3: Cross multiply
    2,167.81x = 3,242.90 × 1,643.94
  4. Step 4: Simplify right side
    2,167.81x = 5,331,137.14
  5. Step 5: Solve for x
    x = 5,331,137.14/2,167.81
  6. Step 6: Final answer
    x = 2,459.23

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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.