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Finding the Fourth Proportional to 4,799.81, 7,201.46 and 1,680.68

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Solution

The fourth proportional to 4,799.81, 7,201.46 and 1,680.68 is: 2,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.81 : 7,201.46 = 1,680.68 : x
  2. Step 2: Convert to fraction form
    4,799.81/7,201.46 = 1,680.68/x
  3. Step 3: Cross multiply
    4,799.81x = 7,201.46 × 1,680.68
  4. Step 4: Simplify right side
    4,799.81x = 12,103,372.00
  5. Step 5: Solve for x
    x = 12,103,372.00/4,799.81
  6. Step 6: Final answer
    x = 2,521.63

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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.