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Finding the Fourth Proportional to 7,511.96, 11,269.86 and 3,407

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Solution

The fourth proportional to 7,511.96, 11,269.86 and 3,407 is: 5,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.96 : 11,269.86 = 3,407 : x
  2. Step 2: Convert to fraction form
    7,511.96/11,269.86 = 3,407/x
  3. Step 3: Cross multiply
    7,511.96x = 11,269.86 × 3,407
  4. Step 4: Simplify right side
    7,511.96x = 38,396,413.02
  5. Step 5: Solve for x
    x = 38,396,413.02/7,511.96
  6. Step 6: Final answer
    x = 5,111.37

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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.