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Finding the Fourth Proportional to 7,880.64, 10,874.61 and 4,523.38

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Solution

The fourth proportional to 7,880.64, 10,874.61 and 4,523.38 is: 6,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.64 : 10,874.61 = 4,523.38 : x
  2. Step 2: Convert to fraction form
    7,880.64/10,874.61 = 4,523.38/x
  3. Step 3: Cross multiply
    7,880.64x = 10,874.61 × 4,523.38
  4. Step 4: Simplify right side
    7,880.64x = 49,189,993.38
  5. Step 5: Solve for x
    x = 49,189,993.38/7,880.64
  6. Step 6: Final answer
    x = 6,241.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.