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Finding the Fourth Proportional to 35,704.96, 49,272 and 20,800

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Solution

The fourth proportional to 35,704.96, 49,272 and 20,800 is: 28,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.96 : 49,272 = 20,800 : x
  2. Step 2: Convert to fraction form
    35,704.96/49,272 = 20,800/x
  3. Step 3: Cross multiply
    35,704.96x = 49,272 × 20,800
  4. Step 4: Simplify right side
    35,704.96x = 1,024,857,600
  5. Step 5: Solve for x
    x = 1,024,857,600/35,704.96
  6. Step 6: Final answer
    x = 28,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.