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Finding the Fourth Proportional to 5,135.60, 7,704.12 and 4,170

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Solution

The fourth proportional to 5,135.60, 7,704.12 and 4,170 is: 6,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.60 : 7,704.12 = 4,170 : x
  2. Step 2: Convert to fraction form
    5,135.60/7,704.12 = 4,170/x
  3. Step 3: Cross multiply
    5,135.60x = 7,704.12 × 4,170
  4. Step 4: Simplify right side
    5,135.60x = 32,126,180.40
  5. Step 5: Solve for x
    x = 32,126,180.40/5,135.60
  6. Step 6: Final answer
    x = 6,255.58

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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.