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Finding the Fourth Proportional to 2,047.98, 3,072.44 and 642.32

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Solution

The fourth proportional to 2,047.98, 3,072.44 and 642.32 is: 963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.98 : 3,072.44 = 642.32 : x
  2. Step 2: Convert to fraction form
    2,047.98/3,072.44 = 642.32/x
  3. Step 3: Cross multiply
    2,047.98x = 3,072.44 × 642.32
  4. Step 4: Simplify right side
    2,047.98x = 1,973,471.09
  5. Step 5: Solve for x
    x = 1,973,471.09/2,047.98
  6. Step 6: Final answer
    x = 963.62

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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.