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Finding the Fourth Proportional to 2,149.22, 2,965.95 and 1,205.22

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Solution

The fourth proportional to 2,149.22, 2,965.95 and 1,205.22 is: 1,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.22 : 2,965.95 = 1,205.22 : x
  2. Step 2: Convert to fraction form
    2,149.22/2,965.95 = 1,205.22/x
  3. Step 3: Cross multiply
    2,149.22x = 2,965.95 × 1,205.22
  4. Step 4: Simplify right side
    2,149.22x = 3,574,615.66
  5. Step 5: Solve for x
    x = 3,574,615.66/2,149.22
  6. Step 6: Final answer
    x = 1,663.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.