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Finding the Fourth Proportional to 17,102.72, 25,654.80 and 8,345

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Solution

The fourth proportional to 17,102.72, 25,654.80 and 8,345 is: 12,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.72 : 25,654.80 = 8,345 : x
  2. Step 2: Convert to fraction form
    17,102.72/25,654.80 = 8,345/x
  3. Step 3: Cross multiply
    17,102.72x = 25,654.80 × 8,345
  4. Step 4: Simplify right side
    17,102.72x = 214,089,306
  5. Step 5: Solve for x
    x = 214,089,306/17,102.72
  6. Step 6: Final answer
    x = 12,517.85

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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.