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Finding the Fourth Proportional to 3,072, 4,603.92 and 2,104.32

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Solution

The fourth proportional to 3,072, 4,603.92 and 2,104.32 is: 3,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072 : 4,603.92 = 2,104.32 : x
  2. Step 2: Convert to fraction form
    3,072/4,603.92 = 2,104.32/x
  3. Step 3: Cross multiply
    3,072x = 4,603.92 × 2,104.32
  4. Step 4: Simplify right side
    3,072x = 9,688,120.93
  5. Step 5: Solve for x
    x = 9,688,120.93/3,072
  6. Step 6: Final answer
    x = 3,153.69

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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.