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Finding the Fourth Proportional to 3,487.71, 5,231.84 and 890.63

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Solution

The fourth proportional to 3,487.71, 5,231.84 and 890.63 is: 1,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.71 : 5,231.84 = 890.63 : x
  2. Step 2: Convert to fraction form
    3,487.71/5,231.84 = 890.63/x
  3. Step 3: Cross multiply
    3,487.71x = 5,231.84 × 890.63
  4. Step 4: Simplify right side
    3,487.71x = 4,659,633.66
  5. Step 5: Solve for x
    x = 4,659,633.66/3,487.71
  6. Step 6: Final answer
    x = 1,336.02

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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.