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Finding the Fourth Proportional to 5,421.88, 7,481.46 and 3,325.24

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Solution

The fourth proportional to 5,421.88, 7,481.46 and 3,325.24 is: 4,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.88 : 7,481.46 = 3,325.24 : x
  2. Step 2: Convert to fraction form
    5,421.88/7,481.46 = 3,325.24/x
  3. Step 3: Cross multiply
    5,421.88x = 7,481.46 × 3,325.24
  4. Step 4: Simplify right side
    5,421.88x = 24,877,650.05
  5. Step 5: Solve for x
    x = 24,877,650.05/5,421.88
  6. Step 6: Final answer
    x = 4,588.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.