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Finding the Fourth Proportional to 13,238.84, 19,866.63 and 7,399.28

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Solution

The fourth proportional to 13,238.84, 19,866.63 and 7,399.28 is: 11,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.84 : 19,866.63 = 7,399.28 : x
  2. Step 2: Convert to fraction form
    13,238.84/19,866.63 = 7,399.28/x
  3. Step 3: Cross multiply
    13,238.84x = 19,866.63 × 7,399.28
  4. Step 4: Simplify right side
    13,238.84x = 146,998,835.44
  5. Step 5: Solve for x
    x = 146,998,835.44/13,238.84
  6. Step 6: Final answer
    x = 11,103.60

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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.