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Finding the Fourth Proportional to 21,600, 32,400 and 7,749

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Solution

The fourth proportional to 21,600, 32,400 and 7,749 is: 11,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600 : 32,400 = 7,749 : x
  2. Step 2: Convert to fraction form
    21,600/32,400 = 7,749/x
  3. Step 3: Cross multiply
    21,600x = 32,400 × 7,749
  4. Step 4: Simplify right side
    21,600x = 251,067,600
  5. Step 5: Solve for x
    x = 251,067,600/21,600
  6. Step 6: Final answer
    x = 11,623.50

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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.