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Finding the Fourth Proportional to 2,115.80, 3,171.76 and 816.29

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Solution

The fourth proportional to 2,115.80, 3,171.76 and 816.29 is: 1,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.80 : 3,171.76 = 816.29 : x
  2. Step 2: Convert to fraction form
    2,115.80/3,171.76 = 816.29/x
  3. Step 3: Cross multiply
    2,115.80x = 3,171.76 × 816.29
  4. Step 4: Simplify right side
    2,115.80x = 2,589,075.97
  5. Step 5: Solve for x
    x = 2,589,075.97/2,115.80
  6. Step 6: Final answer
    x = 1,223.69

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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.