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Finding the Fourth Proportional to 5,271.28, 7,865.99 and 4,571.44

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Solution

The fourth proportional to 5,271.28, 7,865.99 and 4,571.44 is: 6,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.28 : 7,865.99 = 4,571.44 : x
  2. Step 2: Convert to fraction form
    5,271.28/7,865.99 = 4,571.44/x
  3. Step 3: Cross multiply
    5,271.28x = 7,865.99 × 4,571.44
  4. Step 4: Simplify right side
    5,271.28x = 35,958,901.33
  5. Step 5: Solve for x
    x = 35,958,901.33/5,271.28
  6. Step 6: Final answer
    x = 6,821.66

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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.