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Finding the Fourth Proportional to 5,193.81, 7,784.52 and 2,997.90

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Solution

The fourth proportional to 5,193.81, 7,784.52 and 2,997.90 is: 4,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.81 : 7,784.52 = 2,997.90 : x
  2. Step 2: Convert to fraction form
    5,193.81/7,784.52 = 2,997.90/x
  3. Step 3: Cross multiply
    5,193.81x = 7,784.52 × 2,997.90
  4. Step 4: Simplify right side
    5,193.81x = 23,337,212.51
  5. Step 5: Solve for x
    x = 23,337,212.51/5,193.81
  6. Step 6: Final answer
    x = 4,493.27

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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.