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Finding the Fourth Proportional to 7,872.87, 11,816.61 and 3,980.01

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Solution

The fourth proportional to 7,872.87, 11,816.61 and 3,980.01 is: 5,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.87 : 11,816.61 = 3,980.01 : x
  2. Step 2: Convert to fraction form
    7,872.87/11,816.61 = 3,980.01/x
  3. Step 3: Cross multiply
    7,872.87x = 11,816.61 × 3,980.01
  4. Step 4: Simplify right side
    7,872.87x = 47,030,225.97
  5. Step 5: Solve for x
    x = 47,030,225.97/7,872.87
  6. Step 6: Final answer
    x = 5,973.71

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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.