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Finding the Fourth Proportional to 2,781.96, 3,835.02 and 2,117.66

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Solution

The fourth proportional to 2,781.96, 3,835.02 and 2,117.66 is: 2,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.96 : 3,835.02 = 2,117.66 : x
  2. Step 2: Convert to fraction form
    2,781.96/3,835.02 = 2,117.66/x
  3. Step 3: Cross multiply
    2,781.96x = 3,835.02 × 2,117.66
  4. Step 4: Simplify right side
    2,781.96x = 8,121,238.69
  5. Step 5: Solve for x
    x = 8,121,238.69/2,781.96
  6. Step 6: Final answer
    x = 2,919.25

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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.