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Finding the Fourth Proportional to 7,876.50, 11,816.67 and 2,404.50

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Solution

The fourth proportional to 7,876.50, 11,816.67 and 2,404.50 is: 3,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.50 : 11,816.67 = 2,404.50 : x
  2. Step 2: Convert to fraction form
    7,876.50/11,816.67 = 2,404.50/x
  3. Step 3: Cross multiply
    7,876.50x = 11,816.67 × 2,404.50
  4. Step 4: Simplify right side
    7,876.50x = 28,413,183.02
  5. Step 5: Solve for x
    x = 28,413,183.02/7,876.50
  6. Step 6: Final answer
    x = 3,607.34

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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.