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Finding the Fourth Proportional to 7,788.42, 11,684.86 and 3,840.86

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Solution

The fourth proportional to 7,788.42, 11,684.86 and 3,840.86 is: 5,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.42 : 11,684.86 = 3,840.86 : x
  2. Step 2: Convert to fraction form
    7,788.42/11,684.86 = 3,840.86/x
  3. Step 3: Cross multiply
    7,788.42x = 11,684.86 × 3,840.86
  4. Step 4: Simplify right side
    7,788.42x = 44,879,930.99
  5. Step 5: Solve for x
    x = 44,879,930.99/7,788.42
  6. Step 6: Final answer
    x = 5,762.39

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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.