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Finding the Fourth Proportional to 2,047.49, 3,071.31 and 660.84

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Solution

The fourth proportional to 2,047.49, 3,071.31 and 660.84 is: 991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.49 : 3,071.31 = 660.84 : x
  2. Step 2: Convert to fraction form
    2,047.49/3,071.31 = 660.84/x
  3. Step 3: Cross multiply
    2,047.49x = 3,071.31 × 660.84
  4. Step 4: Simplify right side
    2,047.49x = 2,029,653.54
  5. Step 5: Solve for x
    x = 2,029,653.54/2,047.49
  6. Step 6: Final answer
    x = 991.29

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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.