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Finding the Fourth Proportional to 5,119.94, 7,679.64 and 2,522

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Solution

The fourth proportional to 5,119.94, 7,679.64 and 2,522 is: 3,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.94 : 7,679.64 = 2,522 : x
  2. Step 2: Convert to fraction form
    5,119.94/7,679.64 = 2,522/x
  3. Step 3: Cross multiply
    5,119.94x = 7,679.64 × 2,522
  4. Step 4: Simplify right side
    5,119.94x = 19,368,052.08
  5. Step 5: Solve for x
    x = 19,368,052.08/5,119.94
  6. Step 6: Final answer
    x = 3,782.87

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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.