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Finding the Fourth Proportional to 2,051.24, 3,075.03 and 663.71

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Solution

The fourth proportional to 2,051.24, 3,075.03 and 663.71 is: 994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.24 : 3,075.03 = 663.71 : x
  2. Step 2: Convert to fraction form
    2,051.24/3,075.03 = 663.71/x
  3. Step 3: Cross multiply
    2,051.24x = 3,075.03 × 663.71
  4. Step 4: Simplify right side
    2,051.24x = 2,040,912.79
  5. Step 5: Solve for x
    x = 2,040,912.79/2,051.24
  6. Step 6: Final answer
    x = 994.97

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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.