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Finding the Fourth Proportional to 8,272, 12,413.04 and 3,341.12

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Solution

The fourth proportional to 8,272, 12,413.04 and 3,341.12 is: 5,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272 : 12,413.04 = 3,341.12 : x
  2. Step 2: Convert to fraction form
    8,272/12,413.04 = 3,341.12/x
  3. Step 3: Cross multiply
    8,272x = 12,413.04 × 3,341.12
  4. Step 4: Simplify right side
    8,272x = 41,473,456.20
  5. Step 5: Solve for x
    x = 41,473,456.20/8,272
  6. Step 6: Final answer
    x = 5,013.72

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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.