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Finding the Fourth Proportional to 2,145.02, 3,216.02 and 827.66

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Solution

The fourth proportional to 2,145.02, 3,216.02 and 827.66 is: 1,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.02 : 3,216.02 = 827.66 : x
  2. Step 2: Convert to fraction form
    2,145.02/3,216.02 = 827.66/x
  3. Step 3: Cross multiply
    2,145.02x = 3,216.02 × 827.66
  4. Step 4: Simplify right side
    2,145.02x = 2,661,775.01
  5. Step 5: Solve for x
    x = 2,661,775.01/2,145.02
  6. Step 6: Final answer
    x = 1,240.91

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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.