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Finding the Fourth Proportional to 1,958.95, 2,938.56 and 788.95

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Solution

The fourth proportional to 1,958.95, 2,938.56 and 788.95 is: 1,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.95 : 2,938.56 = 788.95 : x
  2. Step 2: Convert to fraction form
    1,958.95/2,938.56 = 788.95/x
  3. Step 3: Cross multiply
    1,958.95x = 2,938.56 × 788.95
  4. Step 4: Simplify right side
    1,958.95x = 2,318,376.91
  5. Step 5: Solve for x
    x = 2,318,376.91/1,958.95
  6. Step 6: Final answer
    x = 1,183.48

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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.