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Finding the Fourth Proportional to 8,241.84, 12,356.87 and 3,856.91

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Solution

The fourth proportional to 8,241.84, 12,356.87 and 3,856.91 is: 5,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.84 : 12,356.87 = 3,856.91 : x
  2. Step 2: Convert to fraction form
    8,241.84/12,356.87 = 3,856.91/x
  3. Step 3: Cross multiply
    8,241.84x = 12,356.87 × 3,856.91
  4. Step 4: Simplify right side
    8,241.84x = 47,659,254.40
  5. Step 5: Solve for x
    x = 47,659,254.40/8,241.84
  6. Step 6: Final answer
    x = 5,782.60

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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.