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Finding the Fourth Proportional to 1,942.81, 2,912.31 and 772.43

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Solution

The fourth proportional to 1,942.81, 2,912.31 and 772.43 is: 1,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.81 : 2,912.31 = 772.43 : x
  2. Step 2: Convert to fraction form
    1,942.81/2,912.31 = 772.43/x
  3. Step 3: Cross multiply
    1,942.81x = 2,912.31 × 772.43
  4. Step 4: Simplify right side
    1,942.81x = 2,249,555.61
  5. Step 5: Solve for x
    x = 2,249,555.61/1,942.81
  6. Step 6: Final answer
    x = 1,157.89

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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.