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Finding the Fourth Proportional to 12,506.53, 18,736.30 and 8,334.22

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Solution

The fourth proportional to 12,506.53, 18,736.30 and 8,334.22 is: 12,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.53 : 18,736.30 = 8,334.22 : x
  2. Step 2: Convert to fraction form
    12,506.53/18,736.30 = 8,334.22/x
  3. Step 3: Cross multiply
    12,506.53x = 18,736.30 × 8,334.22
  4. Step 4: Simplify right side
    12,506.53x = 156,152,446.19
  5. Step 5: Solve for x
    x = 156,152,446.19/12,506.53
  6. Step 6: Final answer
    x = 12,485.67

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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.