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Finding the Fourth Proportional to 12,728.50, 19,086.50 and 5,230.70

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Solution

The fourth proportional to 12,728.50, 19,086.50 and 5,230.70 is: 7,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.50 : 19,086.50 = 5,230.70 : x
  2. Step 2: Convert to fraction form
    12,728.50/19,086.50 = 5,230.70/x
  3. Step 3: Cross multiply
    12,728.50x = 19,086.50 × 5,230.70
  4. Step 4: Simplify right side
    12,728.50x = 99,835,768.63
  5. Step 5: Solve for x
    x = 99,835,768.63/12,728.50
  6. Step 6: Final answer
    x = 7,843.48

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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.