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Finding the Fourth Proportional to 6,643.55, 9,946.02 and 3,861.74

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Solution

The fourth proportional to 6,643.55, 9,946.02 and 3,861.74 is: 5,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.55 : 9,946.02 = 3,861.74 : x
  2. Step 2: Convert to fraction form
    6,643.55/9,946.02 = 3,861.74/x
  3. Step 3: Cross multiply
    6,643.55x = 9,946.02 × 3,861.74
  4. Step 4: Simplify right side
    6,643.55x = 38,408,982.62
  5. Step 5: Solve for x
    x = 38,408,982.62/6,643.55
  6. Step 6: Final answer
    x = 5,781.39

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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.