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Finding the Fourth Proportional to 8,453.00, 12,676.25 and 2,905.31

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Solution

The fourth proportional to 8,453.00, 12,676.25 and 2,905.31 is: 4,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.00 : 12,676.25 = 2,905.31 : x
  2. Step 2: Convert to fraction form
    8,453.00/12,676.25 = 2,905.31/x
  3. Step 3: Cross multiply
    8,453.00x = 12,676.25 × 2,905.31
  4. Step 4: Simplify right side
    8,453.00x = 36,828,357.98
  5. Step 5: Solve for x
    x = 36,828,357.98/8,453.00
  6. Step 6: Final answer
    x = 4,356.84

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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.