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Finding the Fourth Proportional to 21,413.67, 32,112.48 and 7,369.71

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Solution

The fourth proportional to 21,413.67, 32,112.48 and 7,369.71 is: 11,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.67 : 32,112.48 = 7,369.71 : x
  2. Step 2: Convert to fraction form
    21,413.67/32,112.48 = 7,369.71/x
  3. Step 3: Cross multiply
    21,413.67x = 32,112.48 × 7,369.71
  4. Step 4: Simplify right side
    21,413.67x = 236,659,664.98
  5. Step 5: Solve for x
    x = 236,659,664.98/21,413.67
  6. Step 6: Final answer
    x = 11,051.80

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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.