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Finding the Fourth Proportional to 3,136.10, 4,709.10 and 2,908.70

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Solution

The fourth proportional to 3,136.10, 4,709.10 and 2,908.70 is: 4,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.10 : 4,709.10 = 2,908.70 : x
  2. Step 2: Convert to fraction form
    3,136.10/4,709.10 = 2,908.70/x
  3. Step 3: Cross multiply
    3,136.10x = 4,709.10 × 2,908.70
  4. Step 4: Simplify right side
    3,136.10x = 13,697,359.17
  5. Step 5: Solve for x
    x = 13,697,359.17/3,136.10
  6. Step 6: Final answer
    x = 4,367.64

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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.