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Finding the Fourth Proportional to 13,756.56, 20,635.56 and 8,212.56

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Solution

The fourth proportional to 13,756.56, 20,635.56 and 8,212.56 is: 12,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.56 : 20,635.56 = 8,212.56 : x
  2. Step 2: Convert to fraction form
    13,756.56/20,635.56 = 8,212.56/x
  3. Step 3: Cross multiply
    13,756.56x = 20,635.56 × 8,212.56
  4. Step 4: Simplify right side
    13,756.56x = 169,470,774.63
  5. Step 5: Solve for x
    x = 169,470,774.63/13,756.56
  6. Step 6: Final answer
    x = 12,319.27

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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.