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Finding the Fourth Proportional to 3,865.61, 5,788.60 and 3,239.26

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Solution

The fourth proportional to 3,865.61, 5,788.60 and 3,239.26 is: 4,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.61 : 5,788.60 = 3,239.26 : x
  2. Step 2: Convert to fraction form
    3,865.61/5,788.60 = 3,239.26/x
  3. Step 3: Cross multiply
    3,865.61x = 5,788.60 × 3,239.26
  4. Step 4: Simplify right side
    3,865.61x = 18,750,802.79
  5. Step 5: Solve for x
    x = 18,750,802.79/3,865.61
  6. Step 6: Final answer
    x = 4,850.67

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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.