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Finding the Fourth Proportional to 3,072, 4,239.72 and 1,830

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Solution

The fourth proportional to 3,072, 4,239.72 and 1,830 is: 2,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 4,239.72 = 1,830 : x
  2. Step 2: Convert to fraction form
    3,072/4,239.72 = 1,830/x
  3. Step 3: Cross multiply
    3,072x = 4,239.72 × 1,830
  4. Step 4: Simplify right side
    3,072x = 7,758,687.60
  5. Step 5: Solve for x
    x = 7,758,687.60/3,072
  6. Step 6: Final answer
    x = 2,525.61

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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.