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Finding the Fourth Proportional to 21,732, 29,991.66 and 12,300.60

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Solution

The fourth proportional to 21,732, 29,991.66 and 12,300.60 is: 16,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732 : 29,991.66 = 12,300.60 : x
  2. Step 2: Convert to fraction form
    21,732/29,991.66 = 12,300.60/x
  3. Step 3: Cross multiply
    21,732x = 29,991.66 × 12,300.60
  4. Step 4: Simplify right side
    21,732x = 368,915,413.00
  5. Step 5: Solve for x
    x = 368,915,413.00/21,732
  6. Step 6: Final answer
    x = 16,975.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.