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Finding the Fourth Proportional to 2,768.78, 4,153.65 and 821.18

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Solution

The fourth proportional to 2,768.78, 4,153.65 and 821.18 is: 1,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.78 : 4,153.65 = 821.18 : x
  2. Step 2: Convert to fraction form
    2,768.78/4,153.65 = 821.18/x
  3. Step 3: Cross multiply
    2,768.78x = 4,153.65 × 821.18
  4. Step 4: Simplify right side
    2,768.78x = 3,410,894.31
  5. Step 5: Solve for x
    x = 3,410,894.31/2,768.78
  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.