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Finding the Fourth Proportional to 14,846, 20,490.60 and 13,649.09

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Solution

The fourth proportional to 14,846, 20,490.60 and 13,649.09 is: 18,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846 : 20,490.60 = 13,649.09 : x
  2. Step 2: Convert to fraction form
    14,846/20,490.60 = 13,649.09/x
  3. Step 3: Cross multiply
    14,846x = 20,490.60 × 13,649.09
  4. Step 4: Simplify right side
    14,846x = 279,678,043.55
  5. Step 5: Solve for x
    x = 279,678,043.55/14,846
  6. Step 6: Final answer
    x = 18,838.61

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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.