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Finding the Fourth Proportional to 13,728.80, 18,945.12 and 7,679.36

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Solution

The fourth proportional to 13,728.80, 18,945.12 and 7,679.36 is: 10,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.80 : 18,945.12 = 7,679.36 : x
  2. Step 2: Convert to fraction form
    13,728.80/18,945.12 = 7,679.36/x
  3. Step 3: Cross multiply
    13,728.80x = 18,945.12 × 7,679.36
  4. Step 4: Simplify right side
    13,728.80x = 145,486,396.72
  5. Step 5: Solve for x
    x = 145,486,396.72/13,728.80
  6. Step 6: Final answer
    x = 10,597.17

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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.