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Finding the Fourth Proportional to 7,794.65, 11,685.02 and 3,408.64

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Solution

The fourth proportional to 7,794.65, 11,685.02 and 3,408.64 is: 5,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.65 : 11,685.02 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    7,794.65/11,685.02 = 3,408.64/x
  3. Step 3: Cross multiply
    7,794.65x = 11,685.02 × 3,408.64
  4. Step 4: Simplify right side
    7,794.65x = 39,830,026.57
  5. Step 5: Solve for x
    x = 39,830,026.57/7,794.65
  6. Step 6: Final answer
    x = 5,109.92

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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.