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Finding the Fourth Proportional to 2,764.84, 4,147.44 and 817.60

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Solution

The fourth proportional to 2,764.84, 4,147.44 and 817.60 is: 1,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.84 : 4,147.44 = 817.60 : x
  2. Step 2: Convert to fraction form
    2,764.84/4,147.44 = 817.60/x
  3. Step 3: Cross multiply
    2,764.84x = 4,147.44 × 817.60
  4. Step 4: Simplify right side
    2,764.84x = 3,390,946.94
  5. Step 5: Solve for x
    x = 3,390,946.94/2,764.84
  6. Step 6: Final answer
    x = 1,226.45

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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.