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Finding the Fourth Proportional to 3,166.94, 4,750.50 and 1,086.91

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Solution

The fourth proportional to 3,166.94, 4,750.50 and 1,086.91 is: 1,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.94 : 4,750.50 = 1,086.91 : x
  2. Step 2: Convert to fraction form
    3,166.94/4,750.50 = 1,086.91/x
  3. Step 3: Cross multiply
    3,166.94x = 4,750.50 × 1,086.91
  4. Step 4: Simplify right side
    3,166.94x = 5,163,365.96
  5. Step 5: Solve for x
    x = 5,163,365.96/3,166.94
  6. Step 6: Final answer
    x = 1,630.40

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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.