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Finding the Fourth Proportional to 7,806.74, 11,709.84 and 3,424.24

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Solution

The fourth proportional to 7,806.74, 11,709.84 and 3,424.24 is: 5,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.74 : 11,709.84 = 3,424.24 : x
  2. Step 2: Convert to fraction form
    7,806.74/11,709.84 = 3,424.24/x
  3. Step 3: Cross multiply
    7,806.74x = 11,709.84 × 3,424.24
  4. Step 4: Simplify right side
    7,806.74x = 40,097,302.52
  5. Step 5: Solve for x
    x = 40,097,302.52/7,806.74
  6. Step 6: Final answer
    x = 5,136.24

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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.