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Finding the Fourth Proportional to 3,170.74, 4,733.19 and 2,781.94

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Solution

The fourth proportional to 3,170.74, 4,733.19 and 2,781.94 is: 4,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.74 : 4,733.19 = 2,781.94 : x
  2. Step 2: Convert to fraction form
    3,170.74/4,733.19 = 2,781.94/x
  3. Step 3: Cross multiply
    3,170.74x = 4,733.19 × 2,781.94
  4. Step 4: Simplify right side
    3,170.74x = 13,167,443.97
  5. Step 5: Solve for x
    x = 13,167,443.97/3,170.74
  6. Step 6: Final answer
    x = 4,152.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.