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Finding the Fourth Proportional to 9,139, 13,710.42 and 3,667

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Solution

The fourth proportional to 9,139, 13,710.42 and 3,667 is: 5,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139 : 13,710.42 = 3,667 : x
  2. Step 2: Convert to fraction form
    9,139/13,710.42 = 3,667/x
  3. Step 3: Cross multiply
    9,139x = 13,710.42 × 3,667
  4. Step 4: Simplify right side
    9,139x = 50,276,110.14
  5. Step 5: Solve for x
    x = 50,276,110.14/9,139
  6. Step 6: Final answer
    x = 5,501.27

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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.