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Finding the Fourth Proportional to 7,919.76, 11,880.84 and 5,744.90

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Solution

The fourth proportional to 7,919.76, 11,880.84 and 5,744.90 is: 8,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.76 : 11,880.84 = 5,744.90 : x
  2. Step 2: Convert to fraction form
    7,919.76/11,880.84 = 5,744.90/x
  3. Step 3: Cross multiply
    7,919.76x = 11,880.84 × 5,744.90
  4. Step 4: Simplify right side
    7,919.76x = 68,254,237.72
  5. Step 5: Solve for x
    x = 68,254,237.72/7,919.76
  6. Step 6: Final answer
    x = 8,618.22

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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.