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Finding the Fourth Proportional to 1,942.79, 2,912.57 and 772.07

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Solution

The fourth proportional to 1,942.79, 2,912.57 and 772.07 is: 1,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.79 : 2,912.57 = 772.07 : x
  2. Step 2: Convert to fraction form
    1,942.79/2,912.57 = 772.07/x
  3. Step 3: Cross multiply
    1,942.79x = 2,912.57 × 772.07
  4. Step 4: Simplify right side
    1,942.79x = 2,248,707.92
  5. Step 5: Solve for x
    x = 2,248,707.92/1,942.79
  6. Step 6: Final answer
    x = 1,157.46

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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.