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Finding the Fourth Proportional to 2,186.93, 3,018 and 1,192.23

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Solution

The fourth proportional to 2,186.93, 3,018 and 1,192.23 is: 1,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.93 : 3,018 = 1,192.23 : x
  2. Step 2: Convert to fraction form
    2,186.93/3,018 = 1,192.23/x
  3. Step 3: Cross multiply
    2,186.93x = 3,018 × 1,192.23
  4. Step 4: Simplify right side
    2,186.93x = 3,598,150.14
  5. Step 5: Solve for x
    x = 3,598,150.14/2,186.93
  6. Step 6: Final answer
    x = 1,645.30

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1.5x scale

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.