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Finding the Fourth Proportional to 53,920, 80,880 and 15,008

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Solution

The fourth proportional to 53,920, 80,880 and 15,008 is: 22,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,920 : 80,880 = 15,008 : x
  2. Step 2: Convert to fraction form
    53,920/80,880 = 15,008/x
  3. Step 3: Cross multiply
    53,920x = 80,880 × 15,008
  4. Step 4: Simplify right side
    53,920x = 1,213,847,040
  5. Step 5: Solve for x
    x = 1,213,847,040/53,920
  6. Step 6: Final answer
    x = 22,512

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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.