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Finding the Fourth Proportional to 2,142.05, 3,213.03 and 661.23

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Solution

The fourth proportional to 2,142.05, 3,213.03 and 661.23 is: 991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.05 : 3,213.03 = 661.23 : x
  2. Step 2: Convert to fraction form
    2,142.05/3,213.03 = 661.23/x
  3. Step 3: Cross multiply
    2,142.05x = 3,213.03 × 661.23
  4. Step 4: Simplify right side
    2,142.05x = 2,124,554.31
  5. Step 5: Solve for x
    x = 2,124,554.31/2,142.05
  6. Step 6: Final answer
    x = 991.83

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1.5x scale

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.