Home / 3,183.98-4,775.16-1,428

Finding the Fourth Proportional to 3,183.98, 4,775.16 and 1,428

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Solution

The fourth proportional to 3,183.98, 4,775.16 and 1,428 is: 2,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.98 : 4,775.16 = 1,428 : x
  2. Step 2: Convert to fraction form
    3,183.98/4,775.16 = 1,428/x
  3. Step 3: Cross multiply
    3,183.98x = 4,775.16 × 1,428
  4. Step 4: Simplify right side
    3,183.98x = 6,818,928.48
  5. Step 5: Solve for x
    x = 6,818,928.48/3,183.98
  6. Step 6: Final answer
    x = 2,141.64

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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.