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Finding the Fourth Proportional to 7,890, 11,835.09 and 2,046.26

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Solution

The fourth proportional to 7,890, 11,835.09 and 2,046.26 is: 3,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890 : 11,835.09 = 2,046.26 : x
  2. Step 2: Convert to fraction form
    7,890/11,835.09 = 2,046.26/x
  3. Step 3: Cross multiply
    7,890x = 11,835.09 × 2,046.26
  4. Step 4: Simplify right side
    7,890x = 24,217,612.09
  5. Step 5: Solve for x
    x = 24,217,612.09/7,890
  6. Step 6: Final answer
    x = 3,069.41

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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.