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Finding the Fourth Proportional to 30,240, 45,379.44 and 11,772

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Solution

The fourth proportional to 30,240, 45,379.44 and 11,772 is: 17,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240 : 45,379.44 = 11,772 : x
  2. Step 2: Convert to fraction form
    30,240/45,379.44 = 11,772/x
  3. Step 3: Cross multiply
    30,240x = 45,379.44 × 11,772
  4. Step 4: Simplify right side
    30,240x = 534,206,767.68
  5. Step 5: Solve for x
    x = 534,206,767.68/30,240
  6. Step 6: Final answer
    x = 17,665.57

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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.