Home / 3,136.88-4,705.32-828.38

Finding the Fourth Proportional to 3,136.88, 4,705.32 and 828.38

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Solution

The fourth proportional to 3,136.88, 4,705.32 and 828.38 is: 1,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.88 : 4,705.32 = 828.38 : x
  2. Step 2: Convert to fraction form
    3,136.88/4,705.32 = 828.38/x
  3. Step 3: Cross multiply
    3,136.88x = 4,705.32 × 828.38
  4. Step 4: Simplify right side
    3,136.88x = 3,897,792.98
  5. Step 5: Solve for x
    x = 3,897,792.98/3,136.88
  6. Step 6: Final answer
    x = 1,242.57

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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.