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Finding the Fourth Proportional to 34,716.99, 47,914.22 and 21,285.87

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Solution

The fourth proportional to 34,716.99, 47,914.22 and 21,285.87 is: 29,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716.99 : 47,914.22 = 21,285.87 : x
  2. Step 2: Convert to fraction form
    34,716.99/47,914.22 = 21,285.87/x
  3. Step 3: Cross multiply
    34,716.99x = 47,914.22 × 21,285.87
  4. Step 4: Simplify right side
    34,716.99x = 1,019,895,751.64
  5. Step 5: Solve for x
    x = 1,019,895,751.64/34,716.99
  6. Step 6: Final answer
    x = 29,377.42

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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.