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Finding the Fourth Proportional to 5,724.32, 8,576 and 4,805.76

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Solution

The fourth proportional to 5,724.32, 8,576 and 4,805.76 is: 7,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.32 : 8,576 = 4,805.76 : x
  2. Step 2: Convert to fraction form
    5,724.32/8,576 = 4,805.76/x
  3. Step 3: Cross multiply
    5,724.32x = 8,576 × 4,805.76
  4. Step 4: Simplify right side
    5,724.32x = 41,214,197.76
  5. Step 5: Solve for x
    x = 41,214,197.76/5,724.32
  6. Step 6: Final answer
    x = 7,199.84

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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.