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Finding the Fourth Proportional to 34,390.38, 51,583.45 and 12,200.84

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Solution

The fourth proportional to 34,390.38, 51,583.45 and 12,200.84 is: 18,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,390.38 : 51,583.45 = 12,200.84 : x
  2. Step 2: Convert to fraction form
    34,390.38/51,583.45 = 12,200.84/x
  3. Step 3: Cross multiply
    34,390.38x = 51,583.45 × 12,200.84
  4. Step 4: Simplify right side
    34,390.38x = 629,361,420.10
  5. Step 5: Solve for x
    x = 629,361,420.10/34,390.38
  6. Step 6: Final answer
    x = 18,300.51

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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.