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Finding the Fourth Proportional to 10,971.60, 16,433.10 and 9,027.60

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Solution

The fourth proportional to 10,971.60, 16,433.10 and 9,027.60 is: 13,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 16,433.10 = 9,027.60 : x
  2. Step 2: Convert to fraction form
    10,971.60/16,433.10 = 9,027.60/x
  3. Step 3: Cross multiply
    10,971.60x = 16,433.10 × 9,027.60
  4. Step 4: Simplify right side
    10,971.60x = 148,351,453.56
  5. Step 5: Solve for x
    x = 148,351,453.56/10,971.60
  6. Step 6: Final answer
    x = 13,521.41

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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.