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Finding the Fourth Proportional to 19,005.67, 28,507.92 and 7,912.08

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Solution

The fourth proportional to 19,005.67, 28,507.92 and 7,912.08 is: 11,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.67 : 28,507.92 = 7,912.08 : x
  2. Step 2: Convert to fraction form
    19,005.67/28,507.92 = 7,912.08/x
  3. Step 3: Cross multiply
    19,005.67x = 28,507.92 × 7,912.08
  4. Step 4: Simplify right side
    19,005.67x = 225,556,872.40
  5. Step 5: Solve for x
    x = 225,556,872.40/19,005.67
  6. Step 6: Final answer
    x = 11,867.87

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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.