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Finding the Fourth Proportional to 9,772.78, 14,661 and 3,199.33

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Solution

The fourth proportional to 9,772.78, 14,661 and 3,199.33 is: 4,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.78 : 14,661 = 3,199.33 : x
  2. Step 2: Convert to fraction form
    9,772.78/14,661 = 3,199.33/x
  3. Step 3: Cross multiply
    9,772.78x = 14,661 × 3,199.33
  4. Step 4: Simplify right side
    9,772.78x = 46,905,377.13
  5. Step 5: Solve for x
    x = 46,905,377.13/9,772.78
  6. Step 6: Final answer
    x = 4,799.59

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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.