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Finding the Fourth Proportional to 8,496.90, 12,688.09 and 6,939.94

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Solution

The fourth proportional to 8,496.90, 12,688.09 and 6,939.94 is: 10,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.90 : 12,688.09 = 6,939.94 : x
  2. Step 2: Convert to fraction form
    8,496.90/12,688.09 = 6,939.94/x
  3. Step 3: Cross multiply
    8,496.90x = 12,688.09 × 6,939.94
  4. Step 4: Simplify right side
    8,496.90x = 88,054,583.31
  5. Step 5: Solve for x
    x = 88,054,583.31/8,496.90
  6. Step 6: Final answer
    x = 10,363.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.