Home / 1,523.66-2,102.82-1,105.34

Finding the Fourth Proportional to 1,523.66, 2,102.82 and 1,105.34

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Solution

The fourth proportional to 1,523.66, 2,102.82 and 1,105.34 is: 1,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.66 : 2,102.82 = 1,105.34 : x
  2. Step 2: Convert to fraction form
    1,523.66/2,102.82 = 1,105.34/x
  3. Step 3: Cross multiply
    1,523.66x = 2,102.82 × 1,105.34
  4. Step 4: Simplify right side
    1,523.66x = 2,324,331.06
  5. Step 5: Solve for x
    x = 2,324,331.06/1,523.66
  6. Step 6: Final answer
    x = 1,525.49

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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.