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Finding the Fourth Proportional to 13,663, 20,499.36 and 6,742.36

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Solution

The fourth proportional to 13,663, 20,499.36 and 6,742.36 is: 10,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663 : 20,499.36 = 6,742.36 : x
  2. Step 2: Convert to fraction form
    13,663/20,499.36 = 6,742.36/x
  3. Step 3: Cross multiply
    13,663x = 20,499.36 × 6,742.36
  4. Step 4: Simplify right side
    13,663x = 138,214,064.89
  5. Step 5: Solve for x
    x = 138,214,064.89/13,663
  6. Step 6: Final answer
    x = 10,115.94

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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.