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Finding the Fourth Proportional to 5,156.87, 7,734.56 and 1,647.27

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Solution

The fourth proportional to 5,156.87, 7,734.56 and 1,647.27 is: 2,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.87 : 7,734.56 = 1,647.27 : x
  2. Step 2: Convert to fraction form
    5,156.87/7,734.56 = 1,647.27/x
  3. Step 3: Cross multiply
    5,156.87x = 7,734.56 × 1,647.27
  4. Step 4: Simplify right side
    5,156.87x = 12,740,900.41
  5. Step 5: Solve for x
    x = 12,740,900.41/5,156.87
  6. Step 6: Final answer
    x = 2,470.67

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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.