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Finding the Fourth Proportional to 2,795.75, 4,193.49 and 821.30

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Solution

The fourth proportional to 2,795.75, 4,193.49 and 821.30 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.75 : 4,193.49 = 821.30 : x
  2. Step 2: Convert to fraction form
    2,795.75/4,193.49 = 821.30/x
  3. Step 3: Cross multiply
    2,795.75x = 4,193.49 × 821.30
  4. Step 4: Simplify right side
    2,795.75x = 3,444,113.34
  5. Step 5: Solve for x
    x = 3,444,113.34/2,795.75
  6. Step 6: Final answer
    x = 1,231.91

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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.