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Finding the Fourth Proportional to 5,197.97, 7,786.63 and 4,772.72

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Solution

The fourth proportional to 5,197.97, 7,786.63 and 4,772.72 is: 7,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.97 : 7,786.63 = 4,772.72 : x
  2. Step 2: Convert to fraction form
    5,197.97/7,786.63 = 4,772.72/x
  3. Step 3: Cross multiply
    5,197.97x = 7,786.63 × 4,772.72
  4. Step 4: Simplify right side
    5,197.97x = 37,163,430.17
  5. Step 5: Solve for x
    x = 37,163,430.17/5,197.97
  6. Step 6: Final answer
    x = 7,149.60

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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.