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Finding the Fourth Proportional to 7,870.87, 11,794.41 and 4,747.41

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Solution

The fourth proportional to 7,870.87, 11,794.41 and 4,747.41 is: 7,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.87 : 11,794.41 = 4,747.41 : x
  2. Step 2: Convert to fraction form
    7,870.87/11,794.41 = 4,747.41/x
  3. Step 3: Cross multiply
    7,870.87x = 11,794.41 × 4,747.41
  4. Step 4: Simplify right side
    7,870.87x = 55,992,899.98
  5. Step 5: Solve for x
    x = 55,992,899.98/7,870.87
  6. Step 6: Final answer
    x = 7,113.94

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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.