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Finding the Fourth Proportional to 6,749.80, 10,123.78 and 1,819.74

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Solution

The fourth proportional to 6,749.80, 10,123.78 and 1,819.74 is: 2,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.80 : 10,123.78 = 1,819.74 : x
  2. Step 2: Convert to fraction form
    6,749.80/10,123.78 = 1,819.74/x
  3. Step 3: Cross multiply
    6,749.80x = 10,123.78 × 1,819.74
  4. Step 4: Simplify right side
    6,749.80x = 18,422,647.42
  5. Step 5: Solve for x
    x = 18,422,647.42/6,749.80
  6. Step 6: Final answer
    x = 2,729.36

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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.