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Finding the Fourth Proportional to 35,821.36, 53,718 and 21,034

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Solution

The fourth proportional to 35,821.36, 53,718 and 21,034 is: 31,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.36 : 53,718 = 21,034 : x
  2. Step 2: Convert to fraction form
    35,821.36/53,718 = 21,034/x
  3. Step 3: Cross multiply
    35,821.36x = 53,718 × 21,034
  4. Step 4: Simplify right side
    35,821.36x = 1,129,904,412
  5. Step 5: Solve for x
    x = 1,129,904,412/35,821.36
  6. Step 6: Final answer
    x = 31,542.76

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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.