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Finding the Fourth Proportional to 13,728.23, 18,942.98 and 7,678.44

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Solution

The fourth proportional to 13,728.23, 18,942.98 and 7,678.44 is: 10,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.23 : 18,942.98 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    13,728.23/18,942.98 = 7,678.44/x
  3. Step 3: Cross multiply
    13,728.23x = 18,942.98 × 7,678.44
  4. Step 4: Simplify right side
    13,728.23x = 145,452,496.96
  5. Step 5: Solve for x
    x = 145,452,496.96/13,728.23
  6. Step 6: Final answer
    x = 10,595.14

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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.