Home / 1,683.28-2,322.12-1,450

Finding the Fourth Proportional to 1,683.28, 2,322.12 and 1,450

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Solution

The fourth proportional to 1,683.28, 2,322.12 and 1,450 is: 2,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.28 : 2,322.12 = 1,450 : x
  2. Step 2: Convert to fraction form
    1,683.28/2,322.12 = 1,450/x
  3. Step 3: Cross multiply
    1,683.28x = 2,322.12 × 1,450
  4. Step 4: Simplify right side
    1,683.28x = 3,367,074
  5. Step 5: Solve for x
    x = 3,367,074/1,683.28
  6. Step 6: Final answer
    x = 2,000.31

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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.