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Finding the Fourth Proportional to 11,039.72, 15,234.18 and 6,071.72

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Solution

The fourth proportional to 11,039.72, 15,234.18 and 6,071.72 is: 8,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,039.72 : 15,234.18 = 6,071.72 : x
  2. Step 2: Convert to fraction form
    11,039.72/15,234.18 = 6,071.72/x
  3. Step 3: Cross multiply
    11,039.72x = 15,234.18 × 6,071.72
  4. Step 4: Simplify right side
    11,039.72x = 92,497,675.39
  5. Step 5: Solve for x
    x = 92,497,675.39/11,039.72
  6. Step 6: Final answer
    x = 8,378.63

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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.