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Finding the Fourth Proportional to 3,136.60, 4,705.06 and 828.04

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Solution

The fourth proportional to 3,136.60, 4,705.06 and 828.04 is: 1,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.60 : 4,705.06 = 828.04 : x
  2. Step 2: Convert to fraction form
    3,136.60/4,705.06 = 828.04/x
  3. Step 3: Cross multiply
    3,136.60x = 4,705.06 × 828.04
  4. Step 4: Simplify right side
    3,136.60x = 3,895,977.88
  5. Step 5: Solve for x
    x = 3,895,977.88/3,136.60
  6. Step 6: Final answer
    x = 1,242.10

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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.