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Finding the Fourth Proportional to 13,728.98, 18,946.14 and 7,760.72

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Solution

The fourth proportional to 13,728.98, 18,946.14 and 7,760.72 is: 10,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.98 : 18,946.14 = 7,760.72 : x
  2. Step 2: Convert to fraction form
    13,728.98/18,946.14 = 7,760.72/x
  3. Step 3: Cross multiply
    13,728.98x = 18,946.14 × 7,760.72
  4. Step 4: Simplify right side
    13,728.98x = 147,035,687.62
  5. Step 5: Solve for x
    x = 147,035,687.62/13,728.98
  6. Step 6: Final answer
    x = 10,709.88

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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.