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Finding the Fourth Proportional to 30,636, 45,954 and 8,449.56

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Solution

The fourth proportional to 30,636, 45,954 and 8,449.56 is: 12,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,636 : 45,954 = 8,449.56 : x
  2. Step 2: Convert to fraction form
    30,636/45,954 = 8,449.56/x
  3. Step 3: Cross multiply
    30,636x = 45,954 × 8,449.56
  4. Step 4: Simplify right side
    30,636x = 388,291,080.24
  5. Step 5: Solve for x
    x = 388,291,080.24/30,636
  6. Step 6: Final answer
    x = 12,674.34

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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.