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Finding the Fourth Proportional to 35,421, 53,131.52 and 10,797

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Solution

The fourth proportional to 35,421, 53,131.52 and 10,797 is: 16,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421 : 53,131.52 = 10,797 : x
  2. Step 2: Convert to fraction form
    35,421/53,131.52 = 10,797/x
  3. Step 3: Cross multiply
    35,421x = 53,131.52 × 10,797
  4. Step 4: Simplify right side
    35,421x = 573,661,021.44
  5. Step 5: Solve for x
    x = 573,661,021.44/35,421
  6. Step 6: Final answer
    x = 16,195.51

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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.