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Finding the Fourth Proportional to 14,380, 19,846.32 and 9,414.88

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Solution

The fourth proportional to 14,380, 19,846.32 and 9,414.88 is: 12,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380 : 19,846.32 = 9,414.88 : x
  2. Step 2: Convert to fraction form
    14,380/19,846.32 = 9,414.88/x
  3. Step 3: Cross multiply
    14,380x = 19,846.32 × 9,414.88
  4. Step 4: Simplify right side
    14,380x = 186,850,721.24
  5. Step 5: Solve for x
    x = 186,850,721.24/14,380
  6. Step 6: Final answer
    x = 12,993.79

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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.