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Finding the Fourth Proportional to 20,286, 30,408.48 and 9,740.61

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Solution

The fourth proportional to 20,286, 30,408.48 and 9,740.61 is: 14,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 30,408.48 = 9,740.61 : x
  2. Step 2: Convert to fraction form
    20,286/30,408.48 = 9,740.61/x
  3. Step 3: Cross multiply
    20,286x = 30,408.48 × 9,740.61
  4. Step 4: Simplify right side
    20,286x = 296,197,144.37
  5. Step 5: Solve for x
    x = 296,197,144.37/20,286
  6. Step 6: Final answer
    x = 14,601.06

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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.