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Finding the Fourth Proportional to 52,920, 79,380 and 15,984

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Solution

The fourth proportional to 52,920, 79,380 and 15,984 is: 23,976

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,920 : 79,380 = 15,984 : x
  2. Step 2: Convert to fraction form
    52,920/79,380 = 15,984/x
  3. Step 3: Cross multiply
    52,920x = 79,380 × 15,984
  4. Step 4: Simplify right side
    52,920x = 1,268,809,920
  5. Step 5: Solve for x
    x = 1,268,809,920/52,920
  6. Step 6: Final answer
    x = 23,976

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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.