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Finding the Fourth Proportional to 14,467.78, 19,960.17 and 8,175.46

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Solution

The fourth proportional to 14,467.78, 19,960.17 and 8,175.46 is: 11,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.78 : 19,960.17 = 8,175.46 : x
  2. Step 2: Convert to fraction form
    14,467.78/19,960.17 = 8,175.46/x
  3. Step 3: Cross multiply
    14,467.78x = 19,960.17 × 8,175.46
  4. Step 4: Simplify right side
    14,467.78x = 163,183,571.43
  5. Step 5: Solve for x
    x = 163,183,571.43/14,467.78
  6. Step 6: Final answer
    x = 11,279.10

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1.5x scale

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.