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Finding the Fourth Proportional to 10,949, 15,109.62 and 6,236.06

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Solution

The fourth proportional to 10,949, 15,109.62 and 6,236.06 is: 8,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 15,109.62 = 6,236.06 : x
  2. Step 2: Convert to fraction form
    10,949/15,109.62 = 6,236.06/x
  3. Step 3: Cross multiply
    10,949x = 15,109.62 × 6,236.06
  4. Step 4: Simplify right side
    10,949x = 94,224,496.90
  5. Step 5: Solve for x
    x = 94,224,496.90/10,949
  6. Step 6: Final answer
    x = 8,605.76

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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.