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Finding the Fourth Proportional to 17,005.70, 25,494.78 and 7,638.86

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Solution

The fourth proportional to 17,005.70, 25,494.78 and 7,638.86 is: 11,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.70 : 25,494.78 = 7,638.86 : x
  2. Step 2: Convert to fraction form
    17,005.70/25,494.78 = 7,638.86/x
  3. Step 3: Cross multiply
    17,005.70x = 25,494.78 × 7,638.86
  4. Step 4: Simplify right side
    17,005.70x = 194,751,147.53
  5. Step 5: Solve for x
    x = 194,751,147.53/17,005.70
  6. Step 6: Final answer
    x = 11,452.11

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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.