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Finding the Fourth Proportional to 2,777.13, 4,165.16 and 828.90

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Solution

The fourth proportional to 2,777.13, 4,165.16 and 828.90 is: 1,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.13 : 4,165.16 = 828.90 : x
  2. Step 2: Convert to fraction form
    2,777.13/4,165.16 = 828.90/x
  3. Step 3: Cross multiply
    2,777.13x = 4,165.16 × 828.90
  4. Step 4: Simplify right side
    2,777.13x = 3,452,496.98
  5. Step 5: Solve for x
    x = 3,452,496.98/2,777.13
  6. Step 6: Final answer
    x = 1,243.19

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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.