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Finding the Fourth Proportional to 2,113.75, 3,170.67 and 727.08

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Solution

The fourth proportional to 2,113.75, 3,170.67 and 727.08 is: 1,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.75 : 3,170.67 = 727.08 : x
  2. Step 2: Convert to fraction form
    2,113.75/3,170.67 = 727.08/x
  3. Step 3: Cross multiply
    2,113.75x = 3,170.67 × 727.08
  4. Step 4: Simplify right side
    2,113.75x = 2,305,330.74
  5. Step 5: Solve for x
    x = 2,305,330.74/2,113.75
  6. Step 6: Final answer
    x = 1,090.64

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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.