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Finding the Fourth Proportional to 13,099, 19,622.22 and 6,505.24

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Solution

The fourth proportional to 13,099, 19,622.22 and 6,505.24 is: 9,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099 : 19,622.22 = 6,505.24 : x
  2. Step 2: Convert to fraction form
    13,099/19,622.22 = 6,505.24/x
  3. Step 3: Cross multiply
    13,099x = 19,622.22 × 6,505.24
  4. Step 4: Simplify right side
    13,099x = 127,647,250.43
  5. Step 5: Solve for x
    x = 127,647,250.43/13,099
  6. Step 6: Final answer
    x = 9,744.81

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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.