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Finding the Fourth Proportional to 28,519.56, 42,781.50 and 7,743.24

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Solution

The fourth proportional to 28,519.56, 42,781.50 and 7,743.24 is: 11,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,519.56 : 42,781.50 = 7,743.24 : x
  2. Step 2: Convert to fraction form
    28,519.56/42,781.50 = 7,743.24/x
  3. Step 3: Cross multiply
    28,519.56x = 42,781.50 × 7,743.24
  4. Step 4: Simplify right side
    28,519.56x = 331,267,422.06
  5. Step 5: Solve for x
    x = 331,267,422.06/28,519.56
  6. Step 6: Final answer
    x = 11,615.45

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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.