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Finding the Fourth Proportional to 14,408.78, 19,880.73 and 8,743.40

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Solution

The fourth proportional to 14,408.78, 19,880.73 and 8,743.40 is: 12,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.78 : 19,880.73 = 8,743.40 : x
  2. Step 2: Convert to fraction form
    14,408.78/19,880.73 = 8,743.40/x
  3. Step 3: Cross multiply
    14,408.78x = 19,880.73 × 8,743.40
  4. Step 4: Simplify right side
    14,408.78x = 173,825,075.28
  5. Step 5: Solve for x
    x = 173,825,075.28/14,408.78
  6. Step 6: Final answer
    x = 12,063.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.