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Finding the Fourth Proportional to 9,136.80, 13,690.80 and 3,941.28

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Solution

The fourth proportional to 9,136.80, 13,690.80 and 3,941.28 is: 5,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.80 : 13,690.80 = 3,941.28 : x
  2. Step 2: Convert to fraction form
    9,136.80/13,690.80 = 3,941.28/x
  3. Step 3: Cross multiply
    9,136.80x = 13,690.80 × 3,941.28
  4. Step 4: Simplify right side
    9,136.80x = 53,959,276.22
  5. Step 5: Solve for x
    x = 53,959,276.22/9,136.80
  6. Step 6: Final answer
    x = 5,905.71

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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.