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Finding the Fourth Proportional to 19,512, 29,268 and 7,200

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Solution

The fourth proportional to 19,512, 29,268 and 7,200 is: 10,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512 : 29,268 = 7,200 : x
  2. Step 2: Convert to fraction form
    19,512/29,268 = 7,200/x
  3. Step 3: Cross multiply
    19,512x = 29,268 × 7,200
  4. Step 4: Simplify right side
    19,512x = 210,729,600
  5. Step 5: Solve for x
    x = 210,729,600/19,512
  6. Step 6: Final answer
    x = 10,800

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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.