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Finding the Fourth Proportional to 13,774.86, 20,662.52 and 7,213.86

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Solution

The fourth proportional to 13,774.86, 20,662.52 and 7,213.86 is: 10,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.86 : 20,662.52 = 7,213.86 : x
  2. Step 2: Convert to fraction form
    13,774.86/20,662.52 = 7,213.86/x
  3. Step 3: Cross multiply
    13,774.86x = 20,662.52 × 7,213.86
  4. Step 4: Simplify right side
    13,774.86x = 149,056,526.53
  5. Step 5: Solve for x
    x = 149,056,526.53/13,774.86
  6. Step 6: Final answer
    x = 10,820.91

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1.5x scale

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.