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Finding the Fourth Proportional to 25,857.77, 38,788.89 and 7,137.81

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Solution

The fourth proportional to 25,857.77, 38,788.89 and 7,137.81 is: 10,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.77 : 38,788.89 = 7,137.81 : x
  2. Step 2: Convert to fraction form
    25,857.77/38,788.89 = 7,137.81/x
  3. Step 3: Cross multiply
    25,857.77x = 38,788.89 × 7,137.81
  4. Step 4: Simplify right side
    25,857.77x = 276,867,726.93
  5. Step 5: Solve for x
    x = 276,867,726.93/25,857.77
  6. Step 6: Final answer
    x = 10,707.33

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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.