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Finding the Fourth Proportional to 13,331.13, 20,009 and 6,761.93

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Solution

The fourth proportional to 13,331.13, 20,009 and 6,761.93 is: 10,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.13 : 20,009 = 6,761.93 : x
  2. Step 2: Convert to fraction form
    13,331.13/20,009 = 6,761.93/x
  3. Step 3: Cross multiply
    13,331.13x = 20,009 × 6,761.93
  4. Step 4: Simplify right side
    13,331.13x = 135,299,457.37
  5. Step 5: Solve for x
    x = 135,299,457.37/13,331.13
  6. Step 6: Final answer
    x = 10,149.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.