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Finding the Fourth Proportional to 25,381.21, 38,071.86 and 6,913.21

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Solution

The fourth proportional to 25,381.21, 38,071.86 and 6,913.21 is: 10,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,381.21 : 38,071.86 = 6,913.21 : x
  2. Step 2: Convert to fraction form
    25,381.21/38,071.86 = 6,913.21/x
  3. Step 3: Cross multiply
    25,381.21x = 38,071.86 × 6,913.21
  4. Step 4: Simplify right side
    25,381.21x = 263,198,763.27
  5. Step 5: Solve for x
    x = 263,198,763.27/25,381.21
  6. Step 6: Final answer
    x = 10,369.83

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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.