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Finding the Fourth Proportional to 12,891, 19,336.90 and 6,135.10

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Solution

The fourth proportional to 12,891, 19,336.90 and 6,135.10 is: 9,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891 : 19,336.90 = 6,135.10 : x
  2. Step 2: Convert to fraction form
    12,891/19,336.90 = 6,135.10/x
  3. Step 3: Cross multiply
    12,891x = 19,336.90 × 6,135.10
  4. Step 4: Simplify right side
    12,891x = 118,633,815.19
  5. Step 5: Solve for x
    x = 118,633,815.19/12,891
  6. Step 6: Final answer
    x = 9,202.84

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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.