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Finding the Fourth Proportional to 5,216.62, 7,824 and 2,583.28

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Solution

The fourth proportional to 5,216.62, 7,824 and 2,583.28 is: 3,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.62 : 7,824 = 2,583.28 : x
  2. Step 2: Convert to fraction form
    5,216.62/7,824 = 2,583.28/x
  3. Step 3: Cross multiply
    5,216.62x = 7,824 × 2,583.28
  4. Step 4: Simplify right side
    5,216.62x = 20,211,582.72
  5. Step 5: Solve for x
    x = 20,211,582.72/5,216.62
  6. Step 6: Final answer
    x = 3,874.46

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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.