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Finding the Fourth Proportional to 34,245.80, 51,368.70 and 12,084.20

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Solution

The fourth proportional to 34,245.80, 51,368.70 and 12,084.20 is: 18,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,245.80 : 51,368.70 = 12,084.20 : x
  2. Step 2: Convert to fraction form
    34,245.80/51,368.70 = 12,084.20/x
  3. Step 3: Cross multiply
    34,245.80x = 51,368.70 × 12,084.20
  4. Step 4: Simplify right side
    34,245.80x = 620,749,644.54
  5. Step 5: Solve for x
    x = 620,749,644.54/34,245.80
  6. Step 6: Final answer
    x = 18,126.30

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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.