Home / 1,961.20-2,706.16-1,121.60

Finding the Fourth Proportional to 1,961.20, 2,706.16 and 1,121.60

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Solution

The fourth proportional to 1,961.20, 2,706.16 and 1,121.60 is: 1,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.20 : 2,706.16 = 1,121.60 : x
  2. Step 2: Convert to fraction form
    1,961.20/2,706.16 = 1,121.60/x
  3. Step 3: Cross multiply
    1,961.20x = 2,706.16 × 1,121.60
  4. Step 4: Simplify right side
    1,961.20x = 3,035,229.06
  5. Step 5: Solve for x
    x = 3,035,229.06/1,961.20
  6. Step 6: Final answer
    x = 1,547.64

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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.