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Finding the Fourth Proportional to 2,605.94, 3,909.82 and 1,630.88

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Solution

The fourth proportional to 2,605.94, 3,909.82 and 1,630.88 is: 2,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.94 : 3,909.82 = 1,630.88 : x
  2. Step 2: Convert to fraction form
    2,605.94/3,909.82 = 1,630.88/x
  3. Step 3: Cross multiply
    2,605.94x = 3,909.82 × 1,630.88
  4. Step 4: Simplify right side
    2,605.94x = 6,376,447.24
  5. Step 5: Solve for x
    x = 6,376,447.24/2,605.94
  6. Step 6: Final answer
    x = 2,446.89

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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.