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Finding the Fourth Proportional to 1,533.05, 2,115.51 and 834.41

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Solution

The fourth proportional to 1,533.05, 2,115.51 and 834.41 is: 1,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.05 : 2,115.51 = 834.41 : x
  2. Step 2: Convert to fraction form
    1,533.05/2,115.51 = 834.41/x
  3. Step 3: Cross multiply
    1,533.05x = 2,115.51 × 834.41
  4. Step 4: Simplify right side
    1,533.05x = 1,765,198.53
  5. Step 5: Solve for x
    x = 1,765,198.53/1,533.05
  6. Step 6: Final answer
    x = 1,151.43

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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.