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Finding the Fourth Proportional to 13,914.23, 20,872.54 and 7,678.55

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Solution

The fourth proportional to 13,914.23, 20,872.54 and 7,678.55 is: 11,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.23 : 20,872.54 = 7,678.55 : x
  2. Step 2: Convert to fraction form
    13,914.23/20,872.54 = 7,678.55/x
  3. Step 3: Cross multiply
    13,914.23x = 20,872.54 × 7,678.55
  4. Step 4: Simplify right side
    13,914.23x = 160,270,743.20
  5. Step 5: Solve for x
    x = 160,270,743.20/13,914.23
  6. Step 6: Final answer
    x = 11,518.48

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1.5x scale

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.