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Finding the Fourth Proportional to 53,760, 80,640 and 14,848

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Solution

The fourth proportional to 53,760, 80,640 and 14,848 is: 22,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760 : 80,640 = 14,848 : x
  2. Step 2: Convert to fraction form
    53,760/80,640 = 14,848/x
  3. Step 3: Cross multiply
    53,760x = 80,640 × 14,848
  4. Step 4: Simplify right side
    53,760x = 1,197,342,720
  5. Step 5: Solve for x
    x = 1,197,342,720/53,760
  6. Step 6: Final answer
    x = 22,272

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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.