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Finding the Fourth Proportional to 13,491.36, 20,231.92 and 7,652

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Solution

The fourth proportional to 13,491.36, 20,231.92 and 7,652 is: 11,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.36 : 20,231.92 = 7,652 : x
  2. Step 2: Convert to fraction form
    13,491.36/20,231.92 = 7,652/x
  3. Step 3: Cross multiply
    13,491.36x = 20,231.92 × 7,652
  4. Step 4: Simplify right side
    13,491.36x = 154,814,651.84
  5. Step 5: Solve for x
    x = 154,814,651.84/13,491.36
  6. Step 6: Final answer
    x = 11,475.10

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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.