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Finding the Fourth Proportional to 10,464.36, 15,676.92 and 5,257.68

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Solution

The fourth proportional to 10,464.36, 15,676.92 and 5,257.68 is: 7,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.36 : 15,676.92 = 5,257.68 : x
  2. Step 2: Convert to fraction form
    10,464.36/15,676.92 = 5,257.68/x
  3. Step 3: Cross multiply
    10,464.36x = 15,676.92 × 5,257.68
  4. Step 4: Simplify right side
    10,464.36x = 82,424,228.75
  5. Step 5: Solve for x
    x = 82,424,228.75/10,464.36
  6. Step 6: Final answer
    x = 7,876.66

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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.