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Finding the Fourth Proportional to 30,504, 45,756.27 and 12,036

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Solution

The fourth proportional to 30,504, 45,756.27 and 12,036 is: 18,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,504 : 45,756.27 = 12,036 : x
  2. Step 2: Convert to fraction form
    30,504/45,756.27 = 12,036/x
  3. Step 3: Cross multiply
    30,504x = 45,756.27 × 12,036
  4. Step 4: Simplify right side
    30,504x = 550,722,465.72
  5. Step 5: Solve for x
    x = 550,722,465.72/30,504
  6. Step 6: Final answer
    x = 18,054.11

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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.