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Finding the Fourth Proportional to 2,060.34, 3,090.50 and 828.78

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Solution

The fourth proportional to 2,060.34, 3,090.50 and 828.78 is: 1,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.34 : 3,090.50 = 828.78 : x
  2. Step 2: Convert to fraction form
    2,060.34/3,090.50 = 828.78/x
  3. Step 3: Cross multiply
    2,060.34x = 3,090.50 × 828.78
  4. Step 4: Simplify right side
    2,060.34x = 2,561,354.01
  5. Step 5: Solve for x
    x = 2,561,354.01/2,060.34
  6. Step 6: Final answer
    x = 1,243.17

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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.