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Finding the Fourth Proportional to 7,893.62, 11,827.42 and 7,079.77

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Solution

The fourth proportional to 7,893.62, 11,827.42 and 7,079.77 is: 10,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.62 : 11,827.42 = 7,079.77 : x
  2. Step 2: Convert to fraction form
    7,893.62/11,827.42 = 7,079.77/x
  3. Step 3: Cross multiply
    7,893.62x = 11,827.42 × 7,079.77
  4. Step 4: Simplify right side
    7,893.62x = 83,735,413.29
  5. Step 5: Solve for x
    x = 83,735,413.29/7,893.62
  6. Step 6: Final answer
    x = 10,607.99

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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.