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Finding the Fourth Proportional to 2,776, 4,164.70 and 828.20

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Solution

The fourth proportional to 2,776, 4,164.70 and 828.20 is: 1,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776 : 4,164.70 = 828.20 : x
  2. Step 2: Convert to fraction form
    2,776/4,164.70 = 828.20/x
  3. Step 3: Cross multiply
    2,776x = 4,164.70 × 828.20
  4. Step 4: Simplify right side
    2,776x = 3,449,204.54
  5. Step 5: Solve for x
    x = 3,449,204.54/2,776
  6. Step 6: Final answer
    x = 1,242.51

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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.