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Finding the Fourth Proportional to 2,294.50, 3,441.76 and 926.50

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Solution

The fourth proportional to 2,294.50, 3,441.76 and 926.50 is: 1,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.50 : 3,441.76 = 926.50 : x
  2. Step 2: Convert to fraction form
    2,294.50/3,441.76 = 926.50/x
  3. Step 3: Cross multiply
    2,294.50x = 3,441.76 × 926.50
  4. Step 4: Simplify right side
    2,294.50x = 3,188,790.64
  5. Step 5: Solve for x
    x = 3,188,790.64/2,294.50
  6. Step 6: Final answer
    x = 1,389.75

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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.