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Finding the Fourth Proportional to 1,292.93, 1,930.01 and 1,196.56

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Solution

The fourth proportional to 1,292.93, 1,930.01 and 1,196.56 is: 1,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.93 : 1,930.01 = 1,196.56 : x
  2. Step 2: Convert to fraction form
    1,292.93/1,930.01 = 1,196.56/x
  3. Step 3: Cross multiply
    1,292.93x = 1,930.01 × 1,196.56
  4. Step 4: Simplify right side
    1,292.93x = 2,309,372.77
  5. Step 5: Solve for x
    x = 2,309,372.77/1,292.93
  6. Step 6: Final answer
    x = 1,786.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.