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Finding the Fourth Proportional to 2,091.51, 3,134.97 and 994.23

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Solution

The fourth proportional to 2,091.51, 3,134.97 and 994.23 is: 1,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.51 : 3,134.97 = 994.23 : x
  2. Step 2: Convert to fraction form
    2,091.51/3,134.97 = 994.23/x
  3. Step 3: Cross multiply
    2,091.51x = 3,134.97 × 994.23
  4. Step 4: Simplify right side
    2,091.51x = 3,116,881.22
  5. Step 5: Solve for x
    x = 3,116,881.22/2,091.51
  6. Step 6: Final answer
    x = 1,490.25

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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.