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Finding the Fourth Proportional to 7,321.44, 10,973.52 and 3,856.80

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Solution

The fourth proportional to 7,321.44, 10,973.52 and 3,856.80 is: 5,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.44 : 10,973.52 = 3,856.80 : x
  2. Step 2: Convert to fraction form
    7,321.44/10,973.52 = 3,856.80/x
  3. Step 3: Cross multiply
    7,321.44x = 10,973.52 × 3,856.80
  4. Step 4: Simplify right side
    7,321.44x = 42,322,671.94
  5. Step 5: Solve for x
    x = 42,322,671.94/7,321.44
  6. Step 6: Final answer
    x = 5,780.65

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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.