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Finding the Fourth Proportional to 35,529, 49,034.88 and 20,625

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Solution

The fourth proportional to 35,529, 49,034.88 and 20,625 is: 28,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529 : 49,034.88 = 20,625 : x
  2. Step 2: Convert to fraction form
    35,529/49,034.88 = 20,625/x
  3. Step 3: Cross multiply
    35,529x = 49,034.88 × 20,625
  4. Step 4: Simplify right side
    35,529x = 1,011,344,400
  5. Step 5: Solve for x
    x = 1,011,344,400/35,529
  6. Step 6: Final answer
    x = 28,465.32

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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.