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Finding the Fourth Proportional to 5,789.40, 7,981.95 and 3,796.50

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Solution

The fourth proportional to 5,789.40, 7,981.95 and 3,796.50 is: 5,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.40 : 7,981.95 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    5,789.40/7,981.95 = 3,796.50/x
  3. Step 3: Cross multiply
    5,789.40x = 7,981.95 × 3,796.50
  4. Step 4: Simplify right side
    5,789.40x = 30,303,473.18
  5. Step 5: Solve for x
    x = 30,303,473.18/5,789.40
  6. Step 6: Final answer
    x = 5,234.30

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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.