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Finding the Fourth Proportional to 2,111.93, 2,914.38 and 1,250.14

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Solution

The fourth proportional to 2,111.93, 2,914.38 and 1,250.14 is: 1,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.93 : 2,914.38 = 1,250.14 : x
  2. Step 2: Convert to fraction form
    2,111.93/2,914.38 = 1,250.14/x
  3. Step 3: Cross multiply
    2,111.93x = 2,914.38 × 1,250.14
  4. Step 4: Simplify right side
    2,111.93x = 3,643,372.60
  5. Step 5: Solve for x
    x = 3,643,372.60/2,111.93
  6. Step 6: Final answer
    x = 1,725.14

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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.