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Finding the Fourth Proportional to 8,683.70, 13,022.82 and 3,136.32

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Solution

The fourth proportional to 8,683.70, 13,022.82 and 3,136.32 is: 4,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.70 : 13,022.82 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    8,683.70/13,022.82 = 3,136.32/x
  3. Step 3: Cross multiply
    8,683.70x = 13,022.82 × 3,136.32
  4. Step 4: Simplify right side
    8,683.70x = 40,843,730.82
  5. Step 5: Solve for x
    x = 40,843,730.82/8,683.70
  6. Step 6: Final answer
    x = 4,703.50

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1.5x scale

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.