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Finding the Fourth Proportional to 14,963.91, 20,649.93 and 8,158

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Solution

The fourth proportional to 14,963.91, 20,649.93 and 8,158 is: 11,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.91 : 20,649.93 = 8,158 : x
  2. Step 2: Convert to fraction form
    14,963.91/20,649.93 = 8,158/x
  3. Step 3: Cross multiply
    14,963.91x = 20,649.93 × 8,158
  4. Step 4: Simplify right side
    14,963.91x = 168,462,128.94
  5. Step 5: Solve for x
    x = 168,462,128.94/14,963.91
  6. Step 6: Final answer
    x = 11,257.90

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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.