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Finding the Fourth Proportional to 25,380, 38,061.63 and 8,739.66

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Solution

The fourth proportional to 25,380, 38,061.63 and 8,739.66 is: 13,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380 : 38,061.63 = 8,739.66 : x
  2. Step 2: Convert to fraction form
    25,380/38,061.63 = 8,739.66/x
  3. Step 3: Cross multiply
    25,380x = 38,061.63 × 8,739.66
  4. Step 4: Simplify right side
    25,380x = 332,645,705.25
  5. Step 5: Solve for x
    x = 332,645,705.25/25,380
  6. Step 6: Final answer
    x = 13,106.61

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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.