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Finding the Fourth Proportional to 5,583.64, 8,378.86 and 2,076.20

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Solution

The fourth proportional to 5,583.64, 8,378.86 and 2,076.20 is: 3,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.64 : 8,378.86 = 2,076.20 : x
  2. Step 2: Convert to fraction form
    5,583.64/8,378.86 = 2,076.20/x
  3. Step 3: Cross multiply
    5,583.64x = 8,378.86 × 2,076.20
  4. Step 4: Simplify right side
    5,583.64x = 17,396,189.13
  5. Step 5: Solve for x
    x = 17,396,189.13/5,583.64
  6. Step 6: Final answer
    x = 3,115.56

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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.