Home / 1,121.90-1,682.16-985.22

Finding the Fourth Proportional to 1,121.90, 1,682.16 and 985.22

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Solution

The fourth proportional to 1,121.90, 1,682.16 and 985.22 is: 1,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.90 : 1,682.16 = 985.22 : x
  2. Step 2: Convert to fraction form
    1,121.90/1,682.16 = 985.22/x
  3. Step 3: Cross multiply
    1,121.90x = 1,682.16 × 985.22
  4. Step 4: Simplify right side
    1,121.90x = 1,657,297.68
  5. Step 5: Solve for x
    x = 1,657,297.68/1,121.90
  6. Step 6: Final answer
    x = 1,477.22

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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.