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Finding the Fourth Proportional to 40,880, 56,413.92 and 22,978.04

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Solution

The fourth proportional to 40,880, 56,413.92 and 22,978.04 is: 31,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,880 : 56,413.92 = 22,978.04 : x
  2. Step 2: Convert to fraction form
    40,880/56,413.92 = 22,978.04/x
  3. Step 3: Cross multiply
    40,880x = 56,413.92 × 22,978.04
  4. Step 4: Simplify right side
    40,880x = 1,296,281,310.32
  5. Step 5: Solve for x
    x = 1,296,281,310.32/40,880
  6. Step 6: Final answer
    x = 31,709.43

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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.