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Finding the Fourth Proportional to 23,129.81, 34,694 and 6,489.51

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Solution

The fourth proportional to 23,129.81, 34,694 and 6,489.51 is: 9,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.81 : 34,694 = 6,489.51 : x
  2. Step 2: Convert to fraction form
    23,129.81/34,694 = 6,489.51/x
  3. Step 3: Cross multiply
    23,129.81x = 34,694 × 6,489.51
  4. Step 4: Simplify right side
    23,129.81x = 225,147,059.94
  5. Step 5: Solve for x
    x = 225,147,059.94/23,129.81
  6. Step 6: Final answer
    x = 9,734.06

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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.