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Finding the Fourth Proportional to 3,781.47, 5,219 and 2,209.47

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Solution

The fourth proportional to 3,781.47, 5,219 and 2,209.47 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.47 : 5,219 = 2,209.47 : x
  2. Step 2: Convert to fraction form
    3,781.47/5,219 = 2,209.47/x
  3. Step 3: Cross multiply
    3,781.47x = 5,219 × 2,209.47
  4. Step 4: Simplify right side
    3,781.47x = 11,531,223.93
  5. Step 5: Solve for x
    x = 11,531,223.93/3,781.47
  6. Step 6: Final answer
    x = 3,049.40

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Half scale
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Double 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.