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Finding the Fourth Proportional to 3,880.92, 5,824.20 and 2,909.64

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Solution

The fourth proportional to 3,880.92, 5,824.20 and 2,909.64 is: 4,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.92 : 5,824.20 = 2,909.64 : x
  2. Step 2: Convert to fraction form
    3,880.92/5,824.20 = 2,909.64/x
  3. Step 3: Cross multiply
    3,880.92x = 5,824.20 × 2,909.64
  4. Step 4: Simplify right side
    3,880.92x = 16,946,325.29
  5. Step 5: Solve for x
    x = 16,946,325.29/3,880.92
  6. Step 6: Final answer
    x = 4,366.57

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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.