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Finding the Fourth Proportional to 4,651.56, 6,976.74 and 3,876.40

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Solution

The fourth proportional to 4,651.56, 6,976.74 and 3,876.40 is: 5,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.56 : 6,976.74 = 3,876.40 : x
  2. Step 2: Convert to fraction form
    4,651.56/6,976.74 = 3,876.40/x
  3. Step 3: Cross multiply
    4,651.56x = 6,976.74 × 3,876.40
  4. Step 4: Simplify right side
    4,651.56x = 27,044,634.94
  5. Step 5: Solve for x
    x = 27,044,634.94/4,651.56
  6. Step 6: Final answer
    x = 5,814.10

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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.