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Finding the Fourth Proportional to 2,161.99, 3,242.71 and 602.11

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Solution

The fourth proportional to 2,161.99, 3,242.71 and 602.11 is: 903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.99 : 3,242.71 = 602.11 : x
  2. Step 2: Convert to fraction form
    2,161.99/3,242.71 = 602.11/x
  3. Step 3: Cross multiply
    2,161.99x = 3,242.71 × 602.11
  4. Step 4: Simplify right side
    2,161.99x = 1,952,468.12
  5. Step 5: Solve for x
    x = 1,952,468.12/2,161.99
  6. Step 6: Final answer
    x = 903.09

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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.