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Finding the Fourth Proportional to 8,742.42, 12,069 and 5,924.68

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Solution

The fourth proportional to 8,742.42, 12,069 and 5,924.68 is: 8,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.42 : 12,069 = 5,924.68 : x
  2. Step 2: Convert to fraction form
    8,742.42/12,069 = 5,924.68/x
  3. Step 3: Cross multiply
    8,742.42x = 12,069 × 5,924.68
  4. Step 4: Simplify right side
    8,742.42x = 71,504,962.92
  5. Step 5: Solve for x
    x = 71,504,962.92/8,742.42
  6. Step 6: Final answer
    x = 8,179.08

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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.