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Finding the Fourth Proportional to 11,988.38, 17,973.54 and 8,280.02

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Solution

The fourth proportional to 11,988.38, 17,973.54 and 8,280.02 is: 12,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.38 : 17,973.54 = 8,280.02 : x
  2. Step 2: Convert to fraction form
    11,988.38/17,973.54 = 8,280.02/x
  3. Step 3: Cross multiply
    11,988.38x = 17,973.54 × 8,280.02
  4. Step 4: Simplify right side
    11,988.38x = 148,821,270.67
  5. Step 5: Solve for x
    x = 148,821,270.67/11,988.38
  6. Step 6: Final answer
    x = 12,413.79

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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.