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Finding the Fourth Proportional to 7,872.48, 11,795.52 and 4,788

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Solution

The fourth proportional to 7,872.48, 11,795.52 and 4,788 is: 7,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.48 : 11,795.52 = 4,788 : x
  2. Step 2: Convert to fraction form
    7,872.48/11,795.52 = 4,788/x
  3. Step 3: Cross multiply
    7,872.48x = 11,795.52 × 4,788
  4. Step 4: Simplify right side
    7,872.48x = 56,476,949.76
  5. Step 5: Solve for x
    x = 56,476,949.76/7,872.48
  6. Step 6: Final answer
    x = 7,173.97

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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.