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Finding the Fourth Proportional to 9,370.72, 12,942.22 and 6,381.36

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Solution

The fourth proportional to 9,370.72, 12,942.22 and 6,381.36 is: 8,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.72 : 12,942.22 = 6,381.36 : x
  2. Step 2: Convert to fraction form
    9,370.72/12,942.22 = 6,381.36/x
  3. Step 3: Cross multiply
    9,370.72x = 12,942.22 × 6,381.36
  4. Step 4: Simplify right side
    9,370.72x = 82,588,949.07
  5. Step 5: Solve for x
    x = 82,588,949.07/9,370.72
  6. Step 6: Final answer
    x = 8,813.51

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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.