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Finding the Fourth Proportional to 13,654.40, 20,469.60 and 9,257.60

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Solution

The fourth proportional to 13,654.40, 20,469.60 and 9,257.60 is: 13,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.40 : 20,469.60 = 9,257.60 : x
  2. Step 2: Convert to fraction form
    13,654.40/20,469.60 = 9,257.60/x
  3. Step 3: Cross multiply
    13,654.40x = 20,469.60 × 9,257.60
  4. Step 4: Simplify right side
    13,654.40x = 189,499,368.96
  5. Step 5: Solve for x
    x = 189,499,368.96/13,654.40
  6. Step 6: Final answer
    x = 13,878.26

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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.