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Finding the Fourth Proportional to 13,466, 20,199.72 and 4,232.72

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Solution

The fourth proportional to 13,466, 20,199.72 and 4,232.72 is: 6,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466 : 20,199.72 = 4,232.72 : x
  2. Step 2: Convert to fraction form
    13,466/20,199.72 = 4,232.72/x
  3. Step 3: Cross multiply
    13,466x = 20,199.72 × 4,232.72
  4. Step 4: Simplify right side
    13,466x = 85,499,758.84
  5. Step 5: Solve for x
    x = 85,499,758.84/13,466
  6. Step 6: Final answer
    x = 6,349.31

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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.