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Finding the Fourth Proportional to 30,694.80, 46,027.40 and 18,216.40

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Solution

The fourth proportional to 30,694.80, 46,027.40 and 18,216.40 is: 27,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.80 : 46,027.40 = 18,216.40 : x
  2. Step 2: Convert to fraction form
    30,694.80/46,027.40 = 18,216.40/x
  3. Step 3: Cross multiply
    30,694.80x = 46,027.40 × 18,216.40
  4. Step 4: Simplify right side
    30,694.80x = 838,453,529.36
  5. Step 5: Solve for x
    x = 838,453,529.36/30,694.80
  6. Step 6: Final answer
    x = 27,315.82

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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.