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Finding the Fourth Proportional to 7,878.70, 11,818.05 and 2,034.87

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Solution

The fourth proportional to 7,878.70, 11,818.05 and 2,034.87 is: 3,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.70 : 11,818.05 = 2,034.87 : x
  2. Step 2: Convert to fraction form
    7,878.70/11,818.05 = 2,034.87/x
  3. Step 3: Cross multiply
    7,878.70x = 11,818.05 × 2,034.87
  4. Step 4: Simplify right side
    7,878.70x = 24,048,195.40
  5. Step 5: Solve for x
    x = 24,048,195.40/7,878.70
  6. Step 6: Final answer
    x = 3,052.31

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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.