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Finding the Fourth Proportional to 9,342.40, 12,893.41 and 5,942.98

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Solution

The fourth proportional to 9,342.40, 12,893.41 and 5,942.98 is: 8,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.40 : 12,893.41 = 5,942.98 : x
  2. Step 2: Convert to fraction form
    9,342.40/12,893.41 = 5,942.98/x
  3. Step 3: Cross multiply
    9,342.40x = 12,893.41 × 5,942.98
  4. Step 4: Simplify right side
    9,342.40x = 76,625,183.58
  5. Step 5: Solve for x
    x = 76,625,183.58/9,342.40
  6. Step 6: Final answer
    x = 8,201.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.