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Finding the Fourth Proportional to 11,646.78, 17,416.52 and 8,650.48

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Solution

The fourth proportional to 11,646.78, 17,416.52 and 8,650.48 is: 12,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.78 : 17,416.52 = 8,650.48 : x
  2. Step 2: Convert to fraction form
    11,646.78/17,416.52 = 8,650.48/x
  3. Step 3: Cross multiply
    11,646.78x = 17,416.52 × 8,650.48
  4. Step 4: Simplify right side
    11,646.78x = 150,661,171.14
  5. Step 5: Solve for x
    x = 150,661,171.14/11,646.78
  6. Step 6: Final answer
    x = 12,935.86

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1.5x scale

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.