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Finding the Fourth Proportional to 11,745.93, 17,584.34 and 7,840.65

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Solution

The fourth proportional to 11,745.93, 17,584.34 and 7,840.65 is: 11,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.93 : 17,584.34 = 7,840.65 : x
  2. Step 2: Convert to fraction form
    11,745.93/17,584.34 = 7,840.65/x
  3. Step 3: Cross multiply
    11,745.93x = 17,584.34 × 7,840.65
  4. Step 4: Simplify right side
    11,745.93x = 137,872,616.22
  5. Step 5: Solve for x
    x = 137,872,616.22/11,745.93
  6. Step 6: Final answer
    x = 11,737.91

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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.