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Finding the Fourth Proportional to 20,474.89, 30,709.89 and 12,046.45

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Solution

The fourth proportional to 20,474.89, 30,709.89 and 12,046.45 is: 18,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.89 : 30,709.89 = 12,046.45 : x
  2. Step 2: Convert to fraction form
    20,474.89/30,709.89 = 12,046.45/x
  3. Step 3: Cross multiply
    20,474.89x = 30,709.89 × 12,046.45
  4. Step 4: Simplify right side
    20,474.89x = 369,945,154.39
  5. Step 5: Solve for x
    x = 369,945,154.39/20,474.89
  6. Step 6: Final answer
    x = 18,068.24

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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.