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Finding the Fourth Proportional to 4,772.64, 7,129.83 and 3,799.83

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Solution

The fourth proportional to 4,772.64, 7,129.83 and 3,799.83 is: 5,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.64 : 7,129.83 = 3,799.83 : x
  2. Step 2: Convert to fraction form
    4,772.64/7,129.83 = 3,799.83/x
  3. Step 3: Cross multiply
    4,772.64x = 7,129.83 × 3,799.83
  4. Step 4: Simplify right side
    4,772.64x = 27,092,141.93
  5. Step 5: Solve for x
    x = 27,092,141.93/4,772.64
  6. Step 6: Final answer
    x = 5,676.55

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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.