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Finding the Fourth Proportional to 5,817.16, 8,724.46 and 1,920.64

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Solution

The fourth proportional to 5,817.16, 8,724.46 and 1,920.64 is: 2,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.16 : 8,724.46 = 1,920.64 : x
  2. Step 2: Convert to fraction form
    5,817.16/8,724.46 = 1,920.64/x
  3. Step 3: Cross multiply
    5,817.16x = 8,724.46 × 1,920.64
  4. Step 4: Simplify right side
    5,817.16x = 16,756,546.85
  5. Step 5: Solve for x
    x = 16,756,546.85/5,817.16
  6. Step 6: Final answer
    x = 2,880.54

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1.5x scale

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.