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Finding the Fourth Proportional to 13,728.53, 18,942.85 and 8,064.20

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Solution

The fourth proportional to 13,728.53, 18,942.85 and 8,064.20 is: 11,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.53 : 18,942.85 = 8,064.20 : x
  2. Step 2: Convert to fraction form
    13,728.53/18,942.85 = 8,064.20/x
  3. Step 3: Cross multiply
    13,728.53x = 18,942.85 × 8,064.20
  4. Step 4: Simplify right side
    13,728.53x = 152,758,930.97
  5. Step 5: Solve for x
    x = 152,758,930.97/13,728.53
  6. Step 6: Final answer
    x = 11,127.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.