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Finding the Fourth Proportional to 12,891, 19,339.74 and 3,657

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Solution

The fourth proportional to 12,891, 19,339.74 and 3,657 is: 5,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891 : 19,339.74 = 3,657 : x
  2. Step 2: Convert to fraction form
    12,891/19,339.74 = 3,657/x
  3. Step 3: Cross multiply
    12,891x = 19,339.74 × 3,657
  4. Step 4: Simplify right side
    12,891x = 70,725,429.18
  5. Step 5: Solve for x
    x = 70,725,429.18/12,891
  6. Step 6: Final answer
    x = 5,486.42

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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.