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Finding the Fourth Proportional to 2,115.28, 3,173.04 and 816.74

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Solution

The fourth proportional to 2,115.28, 3,173.04 and 816.74 is: 1,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.28 : 3,173.04 = 816.74 : x
  2. Step 2: Convert to fraction form
    2,115.28/3,173.04 = 816.74/x
  3. Step 3: Cross multiply
    2,115.28x = 3,173.04 × 816.74
  4. Step 4: Simplify right side
    2,115.28x = 2,591,532.82
  5. Step 5: Solve for x
    x = 2,591,532.82/2,115.28
  6. Step 6: Final answer
    x = 1,225.15

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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.