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Finding the Fourth Proportional to 34,226.40, 47,207.16 and 21,639

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Solution

The fourth proportional to 34,226.40, 47,207.16 and 21,639 is: 29,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,226.40 : 47,207.16 = 21,639 : x
  2. Step 2: Convert to fraction form
    34,226.40/47,207.16 = 21,639/x
  3. Step 3: Cross multiply
    34,226.40x = 47,207.16 × 21,639
  4. Step 4: Simplify right side
    34,226.40x = 1,021,515,735.24
  5. Step 5: Solve for x
    x = 1,021,515,735.24/34,226.40
  6. Step 6: Final answer
    x = 29,845.84

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