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Finding the Fourth Proportional to 53,856, 80,784 and 16,920

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Solution

The fourth proportional to 53,856, 80,784 and 16,920 is: 25,380

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,856 : 80,784 = 16,920 : x
  2. Step 2: Convert to fraction form
    53,856/80,784 = 16,920/x
  3. Step 3: Cross multiply
    53,856x = 80,784 × 16,920
  4. Step 4: Simplify right side
    53,856x = 1,366,865,280
  5. Step 5: Solve for x
    x = 1,366,865,280/53,856
  6. Step 6: Final answer
    x = 25,380

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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.