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Finding the Fourth Proportional to 7,876, 11,818.56 and 3,980.80

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Solution

The fourth proportional to 7,876, 11,818.56 and 3,980.80 is: 5,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876 : 11,818.56 = 3,980.80 : x
  2. Step 2: Convert to fraction form
    7,876/11,818.56 = 3,980.80/x
  3. Step 3: Cross multiply
    7,876x = 11,818.56 × 3,980.80
  4. Step 4: Simplify right side
    7,876x = 47,047,323.65
  5. Step 5: Solve for x
    x = 47,047,323.65/7,876
  6. Step 6: Final answer
    x = 5,973.50

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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.