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Finding the Fourth Proportional to 3,781.53, 5,215.02 and 2,364.77

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Solution

The fourth proportional to 3,781.53, 5,215.02 and 2,364.77 is: 3,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.53 : 5,215.02 = 2,364.77 : x
  2. Step 2: Convert to fraction form
    3,781.53/5,215.02 = 2,364.77/x
  3. Step 3: Cross multiply
    3,781.53x = 5,215.02 × 2,364.77
  4. Step 4: Simplify right side
    3,781.53x = 12,332,296.77
  5. Step 5: Solve for x
    x = 12,332,296.77/3,781.53
  6. Step 6: Final answer
    x = 3,261.19

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Half scale
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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.