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Finding the Fourth Proportional to 27,134.29, 40,701.44 and 8,413.88

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Solution

The fourth proportional to 27,134.29, 40,701.44 and 8,413.88 is: 12,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.29 : 40,701.44 = 8,413.88 : x
  2. Step 2: Convert to fraction form
    27,134.29/40,701.44 = 8,413.88/x
  3. Step 3: Cross multiply
    27,134.29x = 40,701.44 × 8,413.88
  4. Step 4: Simplify right side
    27,134.29x = 342,456,802.19
  5. Step 5: Solve for x
    x = 342,456,802.19/27,134.29
  6. Step 6: Final answer
    x = 12,620.81

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1.5x scale

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.