Home / 1,533.21-2,115.83-834.59

Finding the Fourth Proportional to 1,533.21, 2,115.83 and 834.59

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Solution

The fourth proportional to 1,533.21, 2,115.83 and 834.59 is: 1,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.21 : 2,115.83 = 834.59 : x
  2. Step 2: Convert to fraction form
    1,533.21/2,115.83 = 834.59/x
  3. Step 3: Cross multiply
    1,533.21x = 2,115.83 × 834.59
  4. Step 4: Simplify right side
    1,533.21x = 1,765,842.07
  5. Step 5: Solve for x
    x = 1,765,842.07/1,533.21
  6. Step 6: Final answer
    x = 1,151.73

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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.