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Finding the Fourth Proportional to 10,311, 14,212.38 and 8,068.92

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Solution

The fourth proportional to 10,311, 14,212.38 and 8,068.92 is: 11,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 14,212.38 = 8,068.92 : x
  2. Step 2: Convert to fraction form
    10,311/14,212.38 = 8,068.92/x
  3. Step 3: Cross multiply
    10,311x = 14,212.38 × 8,068.92
  4. Step 4: Simplify right side
    10,311x = 114,678,557.23
  5. Step 5: Solve for x
    x = 114,678,557.23/10,311
  6. Step 6: Final answer
    x = 11,121.96

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Double scale
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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.