Home / 1,546.26-2,133.86-917.11

Finding the Fourth Proportional to 1,546.26, 2,133.86 and 917.11

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Solution

The fourth proportional to 1,546.26, 2,133.86 and 917.11 is: 1,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.26 : 2,133.86 = 917.11 : x
  2. Step 2: Convert to fraction form
    1,546.26/2,133.86 = 917.11/x
  3. Step 3: Cross multiply
    1,546.26x = 2,133.86 × 917.11
  4. Step 4: Simplify right side
    1,546.26x = 1,956,982.43
  5. Step 5: Solve for x
    x = 1,956,982.43/1,546.26
  6. Step 6: Final answer
    x = 1,265.62

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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.