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Finding the Fourth Proportional to 6,072, 8,379.71 and 3,419.52

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Solution

The fourth proportional to 6,072, 8,379.71 and 3,419.52 is: 4,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072 : 8,379.71 = 3,419.52 : x
  2. Step 2: Convert to fraction form
    6,072/8,379.71 = 3,419.52/x
  3. Step 3: Cross multiply
    6,072x = 8,379.71 × 3,419.52
  4. Step 4: Simplify right side
    6,072x = 28,654,585.94
  5. Step 5: Solve for x
    x = 28,654,585.94/6,072
  6. Step 6: Final answer
    x = 4,719.13

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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.