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Finding the Fourth Proportional to 5,775.54, 7,970.23 and 3,122.96

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Solution

The fourth proportional to 5,775.54, 7,970.23 and 3,122.96 is: 4,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.54 : 7,970.23 = 3,122.96 : x
  2. Step 2: Convert to fraction form
    5,775.54/7,970.23 = 3,122.96/x
  3. Step 3: Cross multiply
    5,775.54x = 7,970.23 × 3,122.96
  4. Step 4: Simplify right side
    5,775.54x = 24,890,673.53
  5. Step 5: Solve for x
    x = 24,890,673.53/5,775.54
  6. Step 6: Final answer
    x = 4,309.67

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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.