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Finding the Fourth Proportional to 10,369.92, 14,311.51 and 6,122.38

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Solution

The fourth proportional to 10,369.92, 14,311.51 and 6,122.38 is: 8,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.92 : 14,311.51 = 6,122.38 : x
  2. Step 2: Convert to fraction form
    10,369.92/14,311.51 = 6,122.38/x
  3. Step 3: Cross multiply
    10,369.92x = 14,311.51 × 6,122.38
  4. Step 4: Simplify right side
    10,369.92x = 87,620,466.82
  5. Step 5: Solve for x
    x = 87,620,466.82/10,369.92
  6. Step 6: Final answer
    x = 8,449.49

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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.