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Finding the Fourth Proportional to 3,880.77, 5,823.72 and 2,561.64

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Solution

The fourth proportional to 3,880.77, 5,823.72 and 2,561.64 is: 3,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.77 : 5,823.72 = 2,561.64 : x
  2. Step 2: Convert to fraction form
    3,880.77/5,823.72 = 2,561.64/x
  3. Step 3: Cross multiply
    3,880.77x = 5,823.72 × 2,561.64
  4. Step 4: Simplify right side
    3,880.77x = 14,918,274.10
  5. Step 5: Solve for x
    x = 14,918,274.10/3,880.77
  6. Step 6: Final answer
    x = 3,844.15

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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.