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Finding the Fourth Proportional to 12,005.69, 17,998.74 and 7,378.97

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Solution

The fourth proportional to 12,005.69, 17,998.74 and 7,378.97 is: 11,062.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.69 : 17,998.74 = 7,378.97 : x
  2. Step 2: Convert to fraction form
    12,005.69/17,998.74 = 7,378.97/x
  3. Step 3: Cross multiply
    12,005.69x = 17,998.74 × 7,378.97
  4. Step 4: Simplify right side
    12,005.69x = 132,812,072.50
  5. Step 5: Solve for x
    x = 132,812,072.50/12,005.69
  6. Step 6: Final answer
    x = 11,062.43

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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.