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Finding the Fourth Proportional to 2,115.64, 3,173.68 and 817.64

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Solution

The fourth proportional to 2,115.64, 3,173.68 and 817.64 is: 1,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.64 : 3,173.68 = 817.64 : x
  2. Step 2: Convert to fraction form
    2,115.64/3,173.68 = 817.64/x
  3. Step 3: Cross multiply
    2,115.64x = 3,173.68 × 817.64
  4. Step 4: Simplify right side
    2,115.64x = 2,594,927.72
  5. Step 5: Solve for x
    x = 2,594,927.72/2,115.64
  6. Step 6: Final answer
    x = 1,226.55

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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.