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Finding the Fourth Proportional to 4,880, 7,301.64 and 3,422

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Solution

The fourth proportional to 4,880, 7,301.64 and 3,422 is: 5,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880 : 7,301.64 = 3,422 : x
  2. Step 2: Convert to fraction form
    4,880/7,301.64 = 3,422/x
  3. Step 3: Cross multiply
    4,880x = 7,301.64 × 3,422
  4. Step 4: Simplify right side
    4,880x = 24,986,212.08
  5. Step 5: Solve for x
    x = 24,986,212.08/4,880
  6. Step 6: Final answer
    x = 5,120.13

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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.