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Finding the Fourth Proportional to 2,061.04, 3,091.50 and 828.12

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Solution

The fourth proportional to 2,061.04, 3,091.50 and 828.12 is: 1,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.04 : 3,091.50 = 828.12 : x
  2. Step 2: Convert to fraction form
    2,061.04/3,091.50 = 828.12/x
  3. Step 3: Cross multiply
    2,061.04x = 3,091.50 × 828.12
  4. Step 4: Simplify right side
    2,061.04x = 2,560,132.98
  5. Step 5: Solve for x
    x = 2,560,132.98/2,061.04
  6. Step 6: Final answer
    x = 1,242.16

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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.