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Finding the Fourth Proportional to 5,266.35, 7,905.60 and 3,188.70

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Solution

The fourth proportional to 5,266.35, 7,905.60 and 3,188.70 is: 4,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.35 : 7,905.60 = 3,188.70 : x
  2. Step 2: Convert to fraction form
    5,266.35/7,905.60 = 3,188.70/x
  3. Step 3: Cross multiply
    5,266.35x = 7,905.60 × 3,188.70
  4. Step 4: Simplify right side
    5,266.35x = 25,208,586.72
  5. Step 5: Solve for x
    x = 25,208,586.72/5,266.35
  6. Step 6: Final answer
    x = 4,786.73

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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.