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Finding the Fourth Proportional to 25,770.85, 38,831.85 and 21,193.41

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Solution

The fourth proportional to 25,770.85, 38,831.85 and 21,193.41 is: 31,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770.85 : 38,831.85 = 21,193.41 : x
  2. Step 2: Convert to fraction form
    25,770.85/38,831.85 = 21,193.41/x
  3. Step 3: Cross multiply
    25,770.85x = 38,831.85 × 21,193.41
  4. Step 4: Simplify right side
    25,770.85x = 822,979,318.11
  5. Step 5: Solve for x
    x = 822,979,318.11/25,770.85
  6. Step 6: Final answer
    x = 31,934.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.