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Finding the Fourth Proportional to 4,799.42, 7,200.96 and 1,879.76

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Solution

The fourth proportional to 4,799.42, 7,200.96 and 1,879.76 is: 2,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.42 : 7,200.96 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    4,799.42/7,200.96 = 1,879.76/x
  3. Step 3: Cross multiply
    4,799.42x = 7,200.96 × 1,879.76
  4. Step 4: Simplify right side
    4,799.42x = 13,536,076.57
  5. Step 5: Solve for x
    x = 13,536,076.57/4,799.42
  6. Step 6: Final answer
    x = 2,820.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.