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Finding the Fourth Proportional to 28,515.94, 42,773.92 and 7,739.44

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Solution

The fourth proportional to 28,515.94, 42,773.92 and 7,739.44 is: 11,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,515.94 : 42,773.92 = 7,739.44 : x
  2. Step 2: Convert to fraction form
    28,515.94/42,773.92 = 7,739.44/x
  3. Step 3: Cross multiply
    28,515.94x = 42,773.92 × 7,739.44
  4. Step 4: Simplify right side
    28,515.94x = 331,046,187.40
  5. Step 5: Solve for x
    x = 331,046,187.40/28,515.94
  6. Step 6: Final answer
    x = 11,609.16

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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.