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Finding the Fourth Proportional to 7,758.69, 11,629.88 and 3,804.47

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Solution

The fourth proportional to 7,758.69, 11,629.88 and 3,804.47 is: 5,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.69 : 11,629.88 = 3,804.47 : x
  2. Step 2: Convert to fraction form
    7,758.69/11,629.88 = 3,804.47/x
  3. Step 3: Cross multiply
    7,758.69x = 11,629.88 × 3,804.47
  4. Step 4: Simplify right side
    7,758.69x = 44,245,510.27
  5. Step 5: Solve for x
    x = 44,245,510.27/7,758.69
  6. Step 6: Final answer
    x = 5,702.71

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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.