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Finding the Fourth Proportional to 18,256, 27,385.68 and 5,108.34

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Solution

The fourth proportional to 18,256, 27,385.68 and 5,108.34 is: 7,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256 : 27,385.68 = 5,108.34 : x
  2. Step 2: Convert to fraction form
    18,256/27,385.68 = 5,108.34/x
  3. Step 3: Cross multiply
    18,256x = 27,385.68 × 5,108.34
  4. Step 4: Simplify right side
    18,256x = 139,895,364.57
  5. Step 5: Solve for x
    x = 139,895,364.57/18,256
  6. Step 6: Final answer
    x = 7,662.98

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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.