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Finding the Fourth Proportional to 12,664.89, 17,461.17 and 8,678.88

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Solution

The fourth proportional to 12,664.89, 17,461.17 and 8,678.88 is: 11,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.89 : 17,461.17 = 8,678.88 : x
  2. Step 2: Convert to fraction form
    12,664.89/17,461.17 = 8,678.88/x
  3. Step 3: Cross multiply
    12,664.89x = 17,461.17 × 8,678.88
  4. Step 4: Simplify right side
    12,664.89x = 151,543,399.09
  5. Step 5: Solve for x
    x = 151,543,399.09/12,664.89
  6. Step 6: Final answer
    x = 11,965.63

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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.