Home / 1,533.24-2,115.88-834.62

Finding the Fourth Proportional to 1,533.24, 2,115.88 and 834.62

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Solution

The fourth proportional to 1,533.24, 2,115.88 and 834.62 is: 1,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.24 : 2,115.88 = 834.62 : x
  2. Step 2: Convert to fraction form
    1,533.24/2,115.88 = 834.62/x
  3. Step 3: Cross multiply
    1,533.24x = 2,115.88 × 834.62
  4. Step 4: Simplify right side
    1,533.24x = 1,765,955.77
  5. Step 5: Solve for x
    x = 1,765,955.77/1,533.24
  6. Step 6: Final answer
    x = 1,151.78

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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.