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Finding the Fourth Proportional to 11,650.66, 17,478.14 and 8,310.58

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Solution

The fourth proportional to 11,650.66, 17,478.14 and 8,310.58 is: 12,467.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.66 : 17,478.14 = 8,310.58 : x
  2. Step 2: Convert to fraction form
    11,650.66/17,478.14 = 8,310.58/x
  3. Step 3: Cross multiply
    11,650.66x = 17,478.14 × 8,310.58
  4. Step 4: Simplify right side
    11,650.66x = 145,253,480.72
  5. Step 5: Solve for x
    x = 145,253,480.72/11,650.66
  6. Step 6: Final answer
    x = 12,467.40

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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.