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Finding the Fourth Proportional to 13,654.74, 18,843.78 and 8,277.30

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Solution

The fourth proportional to 13,654.74, 18,843.78 and 8,277.30 is: 11,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.74 : 18,843.78 = 8,277.30 : x
  2. Step 2: Convert to fraction form
    13,654.74/18,843.78 = 8,277.30/x
  3. Step 3: Cross multiply
    13,654.74x = 18,843.78 × 8,277.30
  4. Step 4: Simplify right side
    13,654.74x = 155,975,620.19
  5. Step 5: Solve for x
    x = 155,975,620.19/13,654.74
  6. Step 6: Final answer
    x = 11,422.82

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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.