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Finding the Fourth Proportional to 19,266, 28,885.72 and 7,580.56

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Solution

The fourth proportional to 19,266, 28,885.72 and 7,580.56 is: 11,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,266 : 28,885.72 = 7,580.56 : x
  2. Step 2: Convert to fraction form
    19,266/28,885.72 = 7,580.56/x
  3. Step 3: Cross multiply
    19,266x = 28,885.72 × 7,580.56
  4. Step 4: Simplify right side
    19,266x = 218,969,933.60
  5. Step 5: Solve for x
    x = 218,969,933.60/19,266
  6. Step 6: Final answer
    x = 11,365.61

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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.