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Finding the Fourth Proportional to 5,234.70, 7,839.90 and 3,582.30

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Solution

The fourth proportional to 5,234.70, 7,839.90 and 3,582.30 is: 5,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.70 : 7,839.90 = 3,582.30 : x
  2. Step 2: Convert to fraction form
    5,234.70/7,839.90 = 3,582.30/x
  3. Step 3: Cross multiply
    5,234.70x = 7,839.90 × 3,582.30
  4. Step 4: Simplify right side
    5,234.70x = 28,084,873.77
  5. Step 5: Solve for x
    x = 28,084,873.77/5,234.70
  6. Step 6: Final answer
    x = 5,365.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.