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Finding the Fourth Proportional to 5,912.39, 8,827.99 and 5,213.57

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Solution

The fourth proportional to 5,912.39, 8,827.99 and 5,213.57 is: 7,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.39 : 8,827.99 = 5,213.57 : x
  2. Step 2: Convert to fraction form
    5,912.39/8,827.99 = 5,213.57/x
  3. Step 3: Cross multiply
    5,912.39x = 8,827.99 × 5,213.57
  4. Step 4: Simplify right side
    5,912.39x = 46,025,286.65
  5. Step 5: Solve for x
    x = 46,025,286.65/5,912.39
  6. Step 6: Final answer
    x = 7,784.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.