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Finding the Fourth Proportional to 3,835.92, 5,285.64 and 3,086.88

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Solution

The fourth proportional to 3,835.92, 5,285.64 and 3,086.88 is: 4,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.92 : 5,285.64 = 3,086.88 : x
  2. Step 2: Convert to fraction form
    3,835.92/5,285.64 = 3,086.88/x
  3. Step 3: Cross multiply
    3,835.92x = 5,285.64 × 3,086.88
  4. Step 4: Simplify right side
    3,835.92x = 16,316,136.40
  5. Step 5: Solve for x
    x = 16,316,136.40/3,835.92
  6. Step 6: Final answer
    x = 4,253.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.