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Finding the Fourth Proportional to 3,421.37, 5,132.05 and 824.31

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Solution

The fourth proportional to 3,421.37, 5,132.05 and 824.31 is: 1,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.37 : 5,132.05 = 824.31 : x
  2. Step 2: Convert to fraction form
    3,421.37/5,132.05 = 824.31/x
  3. Step 3: Cross multiply
    3,421.37x = 5,132.05 × 824.31
  4. Step 4: Simplify right side
    3,421.37x = 4,230,394.04
  5. Step 5: Solve for x
    x = 4,230,394.04/3,421.37
  6. Step 6: Final answer
    x = 1,236.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.