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Finding the Fourth Proportional to 23,520, 35,280 and 7,104

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Solution

The fourth proportional to 23,520, 35,280 and 7,104 is: 10,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520 : 35,280 = 7,104 : x
  2. Step 2: Convert to fraction form
    23,520/35,280 = 7,104/x
  3. Step 3: Cross multiply
    23,520x = 35,280 × 7,104
  4. Step 4: Simplify right side
    23,520x = 250,629,120
  5. Step 5: Solve for x
    x = 250,629,120/23,520
  6. Step 6: Final answer
    x = 10,656

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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.