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Finding the Fourth Proportional to 9,138.69, 13,709.93 and 4,754.97

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Solution

The fourth proportional to 9,138.69, 13,709.93 and 4,754.97 is: 7,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.69 : 13,709.93 = 4,754.97 : x
  2. Step 2: Convert to fraction form
    9,138.69/13,709.93 = 4,754.97/x
  3. Step 3: Cross multiply
    9,138.69x = 13,709.93 × 4,754.97
  4. Step 4: Simplify right side
    9,138.69x = 65,190,282.08
  5. Step 5: Solve for x
    x = 65,190,282.08/9,138.69
  6. Step 6: Final answer
    x = 7,133.44

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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.