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Finding the Fourth Proportional to 7,762.70, 11,645.91 and 3,381.41

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Solution

The fourth proportional to 7,762.70, 11,645.91 and 3,381.41 is: 5,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.70 : 11,645.91 = 3,381.41 : x
  2. Step 2: Convert to fraction form
    7,762.70/11,645.91 = 3,381.41/x
  3. Step 3: Cross multiply
    7,762.70x = 11,645.91 × 3,381.41
  4. Step 4: Simplify right side
    7,762.70x = 39,379,625.65
  5. Step 5: Solve for x
    x = 39,379,625.65/7,762.70
  6. Step 6: Final answer
    x = 5,072.93

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1.5x scale

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.