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Finding the Fourth Proportional to 11,892.60, 17,821.08 and 9,540.36

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Solution

The fourth proportional to 11,892.60, 17,821.08 and 9,540.36 is: 14,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.60 : 17,821.08 = 9,540.36 : x
  2. Step 2: Convert to fraction form
    11,892.60/17,821.08 = 9,540.36/x
  3. Step 3: Cross multiply
    11,892.60x = 17,821.08 × 9,540.36
  4. Step 4: Simplify right side
    11,892.60x = 170,019,518.79
  5. Step 5: Solve for x
    x = 170,019,518.79/11,892.60
  6. Step 6: Final answer
    x = 14,296.24

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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.