Home / 1,546.35-2,134.01-1,105.30

Finding the Fourth Proportional to 1,546.35, 2,134.01 and 1,105.30

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Solution

The fourth proportional to 1,546.35, 2,134.01 and 1,105.30 is: 1,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.35 : 2,134.01 = 1,105.30 : x
  2. Step 2: Convert to fraction form
    1,546.35/2,134.01 = 1,105.30/x
  3. Step 3: Cross multiply
    1,546.35x = 2,134.01 × 1,105.30
  4. Step 4: Simplify right side
    1,546.35x = 2,358,726.68
  5. Step 5: Solve for x
    x = 2,358,726.68/1,546.35
  6. Step 6: Final answer
    x = 1,525.35

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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.