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Finding the Fourth Proportional to 7,872.72, 11,804.64 and 2,675.76

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Solution

The fourth proportional to 7,872.72, 11,804.64 and 2,675.76 is: 4,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.72 : 11,804.64 = 2,675.76 : x
  2. Step 2: Convert to fraction form
    7,872.72/11,804.64 = 2,675.76/x
  3. Step 3: Cross multiply
    7,872.72x = 11,804.64 × 2,675.76
  4. Step 4: Simplify right side
    7,872.72x = 31,586,383.53
  5. Step 5: Solve for x
    x = 31,586,383.53/7,872.72
  6. Step 6: Final answer
    x = 4,012.13

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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.