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Finding the Fourth Proportional to 3,880.55, 5,823.64 and 2,909.27

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Solution

The fourth proportional to 3,880.55, 5,823.64 and 2,909.27 is: 4,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.55 : 5,823.64 = 2,909.27 : x
  2. Step 2: Convert to fraction form
    3,880.55/5,823.64 = 2,909.27/x
  3. Step 3: Cross multiply
    3,880.55x = 5,823.64 × 2,909.27
  4. Step 4: Simplify right side
    3,880.55x = 16,942,504.75
  5. Step 5: Solve for x
    x = 16,942,504.75/3,880.55
  6. Step 6: Final answer
    x = 4,366.01

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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.