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Finding the Fourth Proportional to 5,420.64, 8,124.66 and 3,571.32

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Solution

The fourth proportional to 5,420.64, 8,124.66 and 3,571.32 is: 5,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.64 : 8,124.66 = 3,571.32 : x
  2. Step 2: Convert to fraction form
    5,420.64/8,124.66 = 3,571.32/x
  3. Step 3: Cross multiply
    5,420.64x = 8,124.66 × 3,571.32
  4. Step 4: Simplify right side
    5,420.64x = 29,015,760.75
  5. Step 5: Solve for x
    x = 29,015,760.75/5,420.64
  6. Step 6: Final answer
    x = 5,352.83

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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.