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Finding the Fourth Proportional to 5,201.54, 7,797.68 and 1,913.87

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Solution

The fourth proportional to 5,201.54, 7,797.68 and 1,913.87 is: 2,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.54 : 7,797.68 = 1,913.87 : x
  2. Step 2: Convert to fraction form
    5,201.54/7,797.68 = 1,913.87/x
  3. Step 3: Cross multiply
    5,201.54x = 7,797.68 × 1,913.87
  4. Step 4: Simplify right side
    5,201.54x = 14,923,745.82
  5. Step 5: Solve for x
    x = 14,923,745.82/5,201.54
  6. Step 6: Final answer
    x = 2,869.10

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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.