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Finding the Fourth Proportional to 6,542.64, 9,791.28 and 6,270.48

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Solution

The fourth proportional to 6,542.64, 9,791.28 and 6,270.48 is: 9,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.64 : 9,791.28 = 6,270.48 : x
  2. Step 2: Convert to fraction form
    6,542.64/9,791.28 = 6,270.48/x
  3. Step 3: Cross multiply
    6,542.64x = 9,791.28 × 6,270.48
  4. Step 4: Simplify right side
    6,542.64x = 61,396,025.41
  5. Step 5: Solve for x
    x = 61,396,025.41/6,542.64
  6. Step 6: Final answer
    x = 9,383.98

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1.5x scale

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.