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Finding the Fourth Proportional to 25,856.01, 38,776.86 and 7,131.65

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Solution

The fourth proportional to 25,856.01, 38,776.86 and 7,131.65 is: 10,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.01 : 38,776.86 = 7,131.65 : x
  2. Step 2: Convert to fraction form
    25,856.01/38,776.86 = 7,131.65/x
  3. Step 3: Cross multiply
    25,856.01x = 38,776.86 × 7,131.65
  4. Step 4: Simplify right side
    25,856.01x = 276,542,799.73
  5. Step 5: Solve for x
    x = 276,542,799.73/25,856.01
  6. Step 6: Final answer
    x = 10,695.49

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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.