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Finding the Fourth Proportional to 28,540.52, 42,805.92 and 7,764.02

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Solution

The fourth proportional to 28,540.52, 42,805.92 and 7,764.02 is: 11,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,540.52 : 42,805.92 = 7,764.02 : x
  2. Step 2: Convert to fraction form
    28,540.52/42,805.92 = 7,764.02/x
  3. Step 3: Cross multiply
    28,540.52x = 42,805.92 × 7,764.02
  4. Step 4: Simplify right side
    28,540.52x = 332,346,019.00
  5. Step 5: Solve for x
    x = 332,346,019.00/28,540.52
  6. Step 6: Final answer
    x = 11,644.71

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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.