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Finding the Fourth Proportional to 19,120, 28,672.72 and 7,431.68

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Solution

The fourth proportional to 19,120, 28,672.72 and 7,431.68 is: 11,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120 : 28,672.72 = 7,431.68 : x
  2. Step 2: Convert to fraction form
    19,120/28,672.72 = 7,431.68/x
  3. Step 3: Cross multiply
    19,120x = 28,672.72 × 7,431.68
  4. Step 4: Simplify right side
    19,120x = 213,086,479.77
  5. Step 5: Solve for x
    x = 213,086,479.77/19,120
  6. Step 6: Final answer
    x = 11,144.69

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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.