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Finding the Fourth Proportional to 20,427, 30,647.80 and 10,046.04

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Solution

The fourth proportional to 20,427, 30,647.80 and 10,046.04 is: 15,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 30,647.80 = 10,046.04 : x
  2. Step 2: Convert to fraction form
    20,427/30,647.80 = 10,046.04/x
  3. Step 3: Cross multiply
    20,427x = 30,647.80 × 10,046.04
  4. Step 4: Simplify right side
    20,427x = 307,889,024.71
  5. Step 5: Solve for x
    x = 307,889,024.71/20,427
  6. Step 6: Final answer
    x = 15,072.65

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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.