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Finding the Fourth Proportional to 8,932, 13,413.12 and 5,817.28

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Solution

The fourth proportional to 8,932, 13,413.12 and 5,817.28 is: 8,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932 : 13,413.12 = 5,817.28 : x
  2. Step 2: Convert to fraction form
    8,932/13,413.12 = 5,817.28/x
  3. Step 3: Cross multiply
    8,932x = 13,413.12 × 5,817.28
  4. Step 4: Simplify right side
    8,932x = 78,027,874.71
  5. Step 5: Solve for x
    x = 78,027,874.71/8,932
  6. Step 6: Final answer
    x = 8,735.77

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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.