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Finding the Fourth Proportional to 8,374.15, 11,542.84 and 5,684.55

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Solution

The fourth proportional to 8,374.15, 11,542.84 and 5,684.55 is: 7,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.15 : 11,542.84 = 5,684.55 : x
  2. Step 2: Convert to fraction form
    8,374.15/11,542.84 = 5,684.55/x
  3. Step 3: Cross multiply
    8,374.15x = 11,542.84 × 5,684.55
  4. Step 4: Simplify right side
    8,374.15x = 65,615,851.12
  5. Step 5: Solve for x
    x = 65,615,851.12/8,374.15
  6. Step 6: Final answer
    x = 7,835.52

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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.