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Finding the Fourth Proportional to 3,086.80, 4,630.50 and 895.48

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Solution

The fourth proportional to 3,086.80, 4,630.50 and 895.48 is: 1,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.80 : 4,630.50 = 895.48 : x
  2. Step 2: Convert to fraction form
    3,086.80/4,630.50 = 895.48/x
  3. Step 3: Cross multiply
    3,086.80x = 4,630.50 × 895.48
  4. Step 4: Simplify right side
    3,086.80x = 4,146,520.14
  5. Step 5: Solve for x
    x = 4,146,520.14/3,086.80
  6. Step 6: Final answer
    x = 1,343.31

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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.