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Finding the Fourth Proportional to 12,090.74, 18,138.84 and 5,853.68

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Solution

The fourth proportional to 12,090.74, 18,138.84 and 5,853.68 is: 8,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.74 : 18,138.84 = 5,853.68 : x
  2. Step 2: Convert to fraction form
    12,090.74/18,138.84 = 5,853.68/x
  3. Step 3: Cross multiply
    12,090.74x = 18,138.84 × 5,853.68
  4. Step 4: Simplify right side
    12,090.74x = 106,178,964.93
  5. Step 5: Solve for x
    x = 106,178,964.93/12,090.74
  6. Step 6: Final answer
    x = 8,781.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.