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Finding the Fourth Proportional to 2,178.96, 3,007.44 and 1,294.92

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Solution

The fourth proportional to 2,178.96, 3,007.44 and 1,294.92 is: 1,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.96 : 3,007.44 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    2,178.96/3,007.44 = 1,294.92/x
  3. Step 3: Cross multiply
    2,178.96x = 3,007.44 × 1,294.92
  4. Step 4: Simplify right side
    2,178.96x = 3,894,394.20
  5. Step 5: Solve for x
    x = 3,894,394.20/2,178.96
  6. Step 6: Final answer
    x = 1,787.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.