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Finding the Fourth Proportional to 9,759.62, 14,649 and 4,214.90

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Solution

The fourth proportional to 9,759.62, 14,649 and 4,214.90 is: 6,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.62 : 14,649 = 4,214.90 : x
  2. Step 2: Convert to fraction form
    9,759.62/14,649 = 4,214.90/x
  3. Step 3: Cross multiply
    9,759.62x = 14,649 × 4,214.90
  4. Step 4: Simplify right side
    9,759.62x = 61,743,996.86
  5. Step 5: Solve for x
    x = 61,743,996.86/9,759.62
  6. Step 6: Final answer
    x = 6,326.48

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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.