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Finding the Fourth Proportional to 3,783.75, 5,671.42 and 2,856.30

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Solution

The fourth proportional to 3,783.75, 5,671.42 and 2,856.30 is: 4,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.75 : 5,671.42 = 2,856.30 : x
  2. Step 2: Convert to fraction form
    3,783.75/5,671.42 = 2,856.30/x
  3. Step 3: Cross multiply
    3,783.75x = 5,671.42 × 2,856.30
  4. Step 4: Simplify right side
    3,783.75x = 16,199,262.66
  5. Step 5: Solve for x
    x = 16,199,262.66/3,783.75
  6. Step 6: Final answer
    x = 4,281.27

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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.