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Finding the Fourth Proportional to 8,505.98, 12,754.60 and 3,821.98

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Solution

The fourth proportional to 8,505.98, 12,754.60 and 3,821.98 is: 5,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.98 : 12,754.60 = 3,821.98 : x
  2. Step 2: Convert to fraction form
    8,505.98/12,754.60 = 3,821.98/x
  3. Step 3: Cross multiply
    8,505.98x = 12,754.60 × 3,821.98
  4. Step 4: Simplify right side
    8,505.98x = 48,747,826.11
  5. Step 5: Solve for x
    x = 48,747,826.11/8,505.98
  6. Step 6: Final answer
    x = 5,731.01

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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.