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Finding the Fourth Proportional to 17,328.56, 25,995 and 5,638.64

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Solution

The fourth proportional to 17,328.56, 25,995 and 5,638.64 is: 8,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328.56 : 25,995 = 5,638.64 : x
  2. Step 2: Convert to fraction form
    17,328.56/25,995 = 5,638.64/x
  3. Step 3: Cross multiply
    17,328.56x = 25,995 × 5,638.64
  4. Step 4: Simplify right side
    17,328.56x = 146,576,446.80
  5. Step 5: Solve for x
    x = 146,576,446.80/17,328.56
  6. Step 6: Final answer
    x = 8,458.66

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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.