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Finding the Fourth Proportional to 8,293.88, 11,432.56 and 5,636.68

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Solution

The fourth proportional to 8,293.88, 11,432.56 and 5,636.68 is: 7,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.88 : 11,432.56 = 5,636.68 : x
  2. Step 2: Convert to fraction form
    8,293.88/11,432.56 = 5,636.68/x
  3. Step 3: Cross multiply
    8,293.88x = 11,432.56 × 5,636.68
  4. Step 4: Simplify right side
    8,293.88x = 64,441,682.30
  5. Step 5: Solve for x
    x = 64,441,682.30/8,293.88
  6. Step 6: Final answer
    x = 7,769.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.