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Finding the Fourth Proportional to 25,479.81, 38,205 and 9,879.21

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Solution

The fourth proportional to 25,479.81, 38,205 and 9,879.21 is: 14,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,479.81 : 38,205 = 9,879.21 : x
  2. Step 2: Convert to fraction form
    25,479.81/38,205 = 9,879.21/x
  3. Step 3: Cross multiply
    25,479.81x = 38,205 × 9,879.21
  4. Step 4: Simplify right side
    25,479.81x = 377,435,218.05
  5. Step 5: Solve for x
    x = 377,435,218.05/25,479.81
  6. Step 6: Final answer
    x = 14,813.11

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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.