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Finding the Fourth Proportional to 8,346, 12,519 and 2,190

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Solution

The fourth proportional to 8,346, 12,519 and 2,190 is: 3,285

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346 : 12,519 = 2,190 : x
  2. Step 2: Convert to fraction form
    8,346/12,519 = 2,190/x
  3. Step 3: Cross multiply
    8,346x = 12,519 × 2,190
  4. Step 4: Simplify right side
    8,346x = 27,416,610
  5. Step 5: Solve for x
    x = 27,416,610/8,346
  6. Step 6: Final answer
    x = 3,285

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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.