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Finding the Fourth Proportional to 30,409.87, 41,963.53 and 16,797.31

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Solution

The fourth proportional to 30,409.87, 41,963.53 and 16,797.31 is: 23,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.87 : 41,963.53 = 16,797.31 : x
  2. Step 2: Convert to fraction form
    30,409.87/41,963.53 = 16,797.31/x
  3. Step 3: Cross multiply
    30,409.87x = 41,963.53 × 16,797.31
  4. Step 4: Simplify right side
    30,409.87x = 704,874,422.10
  5. Step 5: Solve for x
    x = 704,874,422.10/30,409.87
  6. Step 6: Final answer
    x = 23,179.13

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1.5x scale

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.