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Finding the Fourth Proportional to 5,082, 7,012.38 and 2,843.76

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Solution

The fourth proportional to 5,082, 7,012.38 and 2,843.76 is: 3,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082 : 7,012.38 = 2,843.76 : x
  2. Step 2: Convert to fraction form
    5,082/7,012.38 = 2,843.76/x
  3. Step 3: Cross multiply
    5,082x = 7,012.38 × 2,843.76
  4. Step 4: Simplify right side
    5,082x = 19,941,525.75
  5. Step 5: Solve for x
    x = 19,941,525.75/5,082
  6. Step 6: Final answer
    x = 3,923.95

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1.5x scale

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.