Home / 2,131.53-3,195.14-962.16

Finding the Fourth Proportional to 2,131.53, 3,195.14 and 962.16

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Solution

The fourth proportional to 2,131.53, 3,195.14 and 962.16 is: 1,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.53 : 3,195.14 = 962.16 : x
  2. Step 2: Convert to fraction form
    2,131.53/3,195.14 = 962.16/x
  3. Step 3: Cross multiply
    2,131.53x = 3,195.14 × 962.16
  4. Step 4: Simplify right side
    2,131.53x = 3,074,231.09
  5. Step 5: Solve for x
    x = 3,074,231.09/2,131.53
  6. Step 6: Final answer
    x = 1,442.26

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1.5x scale

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.