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Finding the Fourth Proportional to 14,231.28, 19,638 and 8,261.04

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Solution

The fourth proportional to 14,231.28, 19,638 and 8,261.04 is: 11,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.28 : 19,638 = 8,261.04 : x
  2. Step 2: Convert to fraction form
    14,231.28/19,638 = 8,261.04/x
  3. Step 3: Cross multiply
    14,231.28x = 19,638 × 8,261.04
  4. Step 4: Simplify right side
    14,231.28x = 162,230,303.52
  5. Step 5: Solve for x
    x = 162,230,303.52/14,231.28
  6. Step 6: Final answer
    x = 11,399.56

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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.