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Finding the Fourth Proportional to 25,974.32, 38,989.03 and 21,102.77

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Solution

The fourth proportional to 25,974.32, 38,989.03 and 21,102.77 is: 31,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974.32 : 38,989.03 = 21,102.77 : x
  2. Step 2: Convert to fraction form
    25,974.32/38,989.03 = 21,102.77/x
  3. Step 3: Cross multiply
    25,974.32x = 38,989.03 × 21,102.77
  4. Step 4: Simplify right side
    25,974.32x = 822,776,577.33
  5. Step 5: Solve for x
    x = 822,776,577.33/25,974.32
  6. Step 6: Final answer
    x = 31,676.55

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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.