Home / 1,922.10-2,884.05-1,143.64

Finding the Fourth Proportional to 1,922.10, 2,884.05 and 1,143.64

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Solution

The fourth proportional to 1,922.10, 2,884.05 and 1,143.64 is: 1,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.10 : 2,884.05 = 1,143.64 : x
  2. Step 2: Convert to fraction form
    1,922.10/2,884.05 = 1,143.64/x
  3. Step 3: Cross multiply
    1,922.10x = 2,884.05 × 1,143.64
  4. Step 4: Simplify right side
    1,922.10x = 3,298,303.38
  5. Step 5: Solve for x
    x = 3,298,303.38/1,922.10
  6. Step 6: Final answer
    x = 1,715.99

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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.