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Finding the Fourth Proportional to 8,453.76, 12,676.80 and 2,905.56

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Solution

The fourth proportional to 8,453.76, 12,676.80 and 2,905.56 is: 4,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.76 : 12,676.80 = 2,905.56 : x
  2. Step 2: Convert to fraction form
    8,453.76/12,676.80 = 2,905.56/x
  3. Step 3: Cross multiply
    8,453.76x = 12,676.80 × 2,905.56
  4. Step 4: Simplify right side
    8,453.76x = 36,833,203.01
  5. Step 5: Solve for x
    x = 36,833,203.01/8,453.76
  6. Step 6: Final answer
    x = 4,357.02

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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.