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Finding the Fourth Proportional to 7,890, 11,835 and 2,418

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Solution

The fourth proportional to 7,890, 11,835 and 2,418 is: 3,627

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890 : 11,835 = 2,418 : x
  2. Step 2: Convert to fraction form
    7,890/11,835 = 2,418/x
  3. Step 3: Cross multiply
    7,890x = 11,835 × 2,418
  4. Step 4: Simplify right side
    7,890x = 28,617,030
  5. Step 5: Solve for x
    x = 28,617,030/7,890
  6. Step 6: Final answer
    x = 3,627

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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.