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Finding the Fourth Proportional to 13,442.49, 20,160.50 and 4,208.49

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Solution

The fourth proportional to 13,442.49, 20,160.50 and 4,208.49 is: 6,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.49 : 20,160.50 = 4,208.49 : x
  2. Step 2: Convert to fraction form
    13,442.49/20,160.50 = 4,208.49/x
  3. Step 3: Cross multiply
    13,442.49x = 20,160.50 × 4,208.49
  4. Step 4: Simplify right side
    13,442.49x = 84,845,241.60
  5. Step 5: Solve for x
    x = 84,845,241.60/13,442.49
  6. Step 6: Final answer
    x = 6,311.72

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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.