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Finding the Fourth Proportional to 2,066.75, 2,851.75 and 1,170.49

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Solution

The fourth proportional to 2,066.75, 2,851.75 and 1,170.49 is: 1,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.75 : 2,851.75 = 1,170.49 : x
  2. Step 2: Convert to fraction form
    2,066.75/2,851.75 = 1,170.49/x
  3. Step 3: Cross multiply
    2,066.75x = 2,851.75 × 1,170.49
  4. Step 4: Simplify right side
    2,066.75x = 3,337,944.86
  5. Step 5: Solve for x
    x = 3,337,944.86/2,066.75
  6. Step 6: Final answer
    x = 1,615.07

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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.