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Finding the Fourth Proportional to 18,421.68, 27,612 and 7,325.40

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Solution

The fourth proportional to 18,421.68, 27,612 and 7,325.40 is: 10,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421.68 : 27,612 = 7,325.40 : x
  2. Step 2: Convert to fraction form
    18,421.68/27,612 = 7,325.40/x
  3. Step 3: Cross multiply
    18,421.68x = 27,612 × 7,325.40
  4. Step 4: Simplify right side
    18,421.68x = 202,268,944.80
  5. Step 5: Solve for x
    x = 202,268,944.80/18,421.68
  6. Step 6: Final answer
    x = 10,979.94

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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.