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Finding the Fourth Proportional to 17,385.64, 23,992 and 9,427.80

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Solution

The fourth proportional to 17,385.64, 23,992 and 9,427.80 is: 13,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,385.64 : 23,992 = 9,427.80 : x
  2. Step 2: Convert to fraction form
    17,385.64/23,992 = 9,427.80/x
  3. Step 3: Cross multiply
    17,385.64x = 23,992 × 9,427.80
  4. Step 4: Simplify right side
    17,385.64x = 226,191,777.60
  5. Step 5: Solve for x
    x = 226,191,777.60/17,385.64
  6. Step 6: Final answer
    x = 13,010.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.