Home / 2,122.13-3,182.96-661.16

Finding the Fourth Proportional to 2,122.13, 3,182.96 and 661.16

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Solution

The fourth proportional to 2,122.13, 3,182.96 and 661.16 is: 991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.13 : 3,182.96 = 661.16 : x
  2. Step 2: Convert to fraction form
    2,122.13/3,182.96 = 661.16/x
  3. Step 3: Cross multiply
    2,122.13x = 3,182.96 × 661.16
  4. Step 4: Simplify right side
    2,122.13x = 2,104,438.55
  5. Step 5: Solve for x
    x = 2,104,438.55/2,122.13
  6. Step 6: Final answer
    x = 991.66

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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.