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Finding the Fourth Proportional to 3,804.76, 5,251.26 and 2,211.63

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Solution

The fourth proportional to 3,804.76, 5,251.26 and 2,211.63 is: 3,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.76 : 5,251.26 = 2,211.63 : x
  2. Step 2: Convert to fraction form
    3,804.76/5,251.26 = 2,211.63/x
  3. Step 3: Cross multiply
    3,804.76x = 5,251.26 × 2,211.63
  4. Step 4: Simplify right side
    3,804.76x = 11,613,844.15
  5. Step 5: Solve for x
    x = 11,613,844.15/3,804.76
  6. Step 6: Final answer
    x = 3,052.45

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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.