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Finding the Fourth Proportional to 1,236.99, 1,855.49 and 1,053.21

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Solution

The fourth proportional to 1,236.99, 1,855.49 and 1,053.21 is: 1,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.99 : 1,855.49 = 1,053.21 : x
  2. Step 2: Convert to fraction form
    1,236.99/1,855.49 = 1,053.21/x
  3. Step 3: Cross multiply
    1,236.99x = 1,855.49 × 1,053.21
  4. Step 4: Simplify right side
    1,236.99x = 1,954,215.36
  5. Step 5: Solve for x
    x = 1,954,215.36/1,236.99
  6. Step 6: Final answer
    x = 1,579.82

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.