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Finding the Fourth Proportional to 12,655, 18,965.82 and 11,003.68

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Solution

The fourth proportional to 12,655, 18,965.82 and 11,003.68 is: 16,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655 : 18,965.82 = 11,003.68 : x
  2. Step 2: Convert to fraction form
    12,655/18,965.82 = 11,003.68/x
  3. Step 3: Cross multiply
    12,655x = 18,965.82 × 11,003.68
  4. Step 4: Simplify right side
    12,655x = 208,693,814.22
  5. Step 5: Solve for x
    x = 208,693,814.22/12,655
  6. Step 6: Final answer
    x = 16,491.02

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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.