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Finding the Fourth Proportional to 9,744.40, 14,619 and 2,819.60

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Solution

The fourth proportional to 9,744.40, 14,619 and 2,819.60 is: 4,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.40 : 14,619 = 2,819.60 : x
  2. Step 2: Convert to fraction form
    9,744.40/14,619 = 2,819.60/x
  3. Step 3: Cross multiply
    9,744.40x = 14,619 × 2,819.60
  4. Step 4: Simplify right side
    9,744.40x = 41,219,732.40
  5. Step 5: Solve for x
    x = 41,219,732.40/9,744.40
  6. Step 6: Final answer
    x = 4,230.09

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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.