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Finding the Fourth Proportional to 41,647, 62,477 and 13,560.42

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Solution

The fourth proportional to 41,647, 62,477 and 13,560.42 is: 20,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647 : 62,477 = 13,560.42 : x
  2. Step 2: Convert to fraction form
    41,647/62,477 = 13,560.42/x
  3. Step 3: Cross multiply
    41,647x = 62,477 × 13,560.42
  4. Step 4: Simplify right side
    41,647x = 847,214,360.34
  5. Step 5: Solve for x
    x = 847,214,360.34/41,647
  6. Step 6: Final answer
    x = 20,342.75

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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.