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Finding the Fourth Proportional to 18,281.64, 27,427.32 and 5,802

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Solution

The fourth proportional to 18,281.64, 27,427.32 and 5,802 is: 8,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.64 : 27,427.32 = 5,802 : x
  2. Step 2: Convert to fraction form
    18,281.64/27,427.32 = 5,802/x
  3. Step 3: Cross multiply
    18,281.64x = 27,427.32 × 5,802
  4. Step 4: Simplify right side
    18,281.64x = 159,133,310.64
  5. Step 5: Solve for x
    x = 159,133,310.64/18,281.64
  6. Step 6: Final answer
    x = 8,704.54

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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.