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Finding the Fourth Proportional to 13,791.28, 19,032.36 and 7,504.06

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Solution

The fourth proportional to 13,791.28, 19,032.36 and 7,504.06 is: 10,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.28 : 19,032.36 = 7,504.06 : x
  2. Step 2: Convert to fraction form
    13,791.28/19,032.36 = 7,504.06/x
  3. Step 3: Cross multiply
    13,791.28x = 19,032.36 × 7,504.06
  4. Step 4: Simplify right side
    13,791.28x = 142,819,971.38
  5. Step 5: Solve for x
    x = 142,819,971.38/13,791.28
  6. Step 6: Final answer
    x = 10,355.82

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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.