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Finding the Fourth Proportional to 30,379.85, 45,538.49 and 11,654.90

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Solution

The fourth proportional to 30,379.85, 45,538.49 and 11,654.90 is: 17,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,379.85 : 45,538.49 = 11,654.90 : x
  2. Step 2: Convert to fraction form
    30,379.85/45,538.49 = 11,654.90/x
  3. Step 3: Cross multiply
    30,379.85x = 45,538.49 × 11,654.90
  4. Step 4: Simplify right side
    30,379.85x = 530,746,348.55
  5. Step 5: Solve for x
    x = 530,746,348.55/30,379.85
  6. Step 6: Final answer
    x = 17,470.34

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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.