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Finding the Fourth Proportional to 18,433.12, 27,644 and 5,281.96

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Solution

The fourth proportional to 18,433.12, 27,644 and 5,281.96 is: 7,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.12 : 27,644 = 5,281.96 : x
  2. Step 2: Convert to fraction form
    18,433.12/27,644 = 5,281.96/x
  3. Step 3: Cross multiply
    18,433.12x = 27,644 × 5,281.96
  4. Step 4: Simplify right side
    18,433.12x = 146,014,502.24
  5. Step 5: Solve for x
    x = 146,014,502.24/18,433.12
  6. Step 6: Final answer
    x = 7,921.31

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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.