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Finding the Fourth Proportional to 12,011.82, 16,575.99 and 6,634.66

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Solution

The fourth proportional to 12,011.82, 16,575.99 and 6,634.66 is: 9,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.82 : 16,575.99 = 6,634.66 : x
  2. Step 2: Convert to fraction form
    12,011.82/16,575.99 = 6,634.66/x
  3. Step 3: Cross multiply
    12,011.82x = 16,575.99 × 6,634.66
  4. Step 4: Simplify right side
    12,011.82x = 109,976,059.89
  5. Step 5: Solve for x
    x = 109,976,059.89/12,011.82
  6. Step 6: Final answer
    x = 9,155.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.