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Finding the Fourth Proportional to 13,457, 20,188.74 and 4,223

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Solution

The fourth proportional to 13,457, 20,188.74 and 4,223 is: 6,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457 : 20,188.74 = 4,223 : x
  2. Step 2: Convert to fraction form
    13,457/20,188.74 = 4,223/x
  3. Step 3: Cross multiply
    13,457x = 20,188.74 × 4,223
  4. Step 4: Simplify right side
    13,457x = 85,257,049.02
  5. Step 5: Solve for x
    x = 85,257,049.02/13,457
  6. Step 6: Final answer
    x = 6,335.52

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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.