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Finding the Fourth Proportional to 12,728.72, 19,091.64 and 3,494

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Solution

The fourth proportional to 12,728.72, 19,091.64 and 3,494 is: 5,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.72 : 19,091.64 = 3,494 : x
  2. Step 2: Convert to fraction form
    12,728.72/19,091.64 = 3,494/x
  3. Step 3: Cross multiply
    12,728.72x = 19,091.64 × 3,494
  4. Step 4: Simplify right side
    12,728.72x = 66,706,190.16
  5. Step 5: Solve for x
    x = 66,706,190.16/12,728.72
  6. Step 6: Final answer
    x = 5,240.60

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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.