Home / 1,989.26-2,984.10-1,122.74

Finding the Fourth Proportional to 1,989.26, 2,984.10 and 1,122.74

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Solution

The fourth proportional to 1,989.26, 2,984.10 and 1,122.74 is: 1,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.26 : 2,984.10 = 1,122.74 : x
  2. Step 2: Convert to fraction form
    1,989.26/2,984.10 = 1,122.74/x
  3. Step 3: Cross multiply
    1,989.26x = 2,984.10 × 1,122.74
  4. Step 4: Simplify right side
    1,989.26x = 3,350,368.43
  5. Step 5: Solve for x
    x = 3,350,368.43/1,989.26
  6. Step 6: Final answer
    x = 1,684.23

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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.