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Finding the Fourth Proportional to 6,391.90, 9,542.21 and 5,407.48

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Solution

The fourth proportional to 6,391.90, 9,542.21 and 5,407.48 is: 8,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.90 : 9,542.21 = 5,407.48 : x
  2. Step 2: Convert to fraction form
    6,391.90/9,542.21 = 5,407.48/x
  3. Step 3: Cross multiply
    6,391.90x = 9,542.21 × 5,407.48
  4. Step 4: Simplify right side
    6,391.90x = 51,599,309.73
  5. Step 5: Solve for x
    x = 51,599,309.73/6,391.90
  6. Step 6: Final answer
    x = 8,072.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.