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Finding the Fourth Proportional to 25,858.52, 38,790.02 and 7,138.56

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Solution

The fourth proportional to 25,858.52, 38,790.02 and 7,138.56 is: 10,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,858.52 : 38,790.02 = 7,138.56 : x
  2. Step 2: Convert to fraction form
    25,858.52/38,790.02 = 7,138.56/x
  3. Step 3: Cross multiply
    25,858.52x = 38,790.02 × 7,138.56
  4. Step 4: Simplify right side
    25,858.52x = 276,904,849.48
  5. Step 5: Solve for x
    x = 276,904,849.48/25,858.52
  6. Step 6: Final answer
    x = 10,708.46

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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.