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Finding the Fourth Proportional to 14,971.50, 20,660.36 and 8,257.31

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Solution

The fourth proportional to 14,971.50, 20,660.36 and 8,257.31 is: 11,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.50 : 20,660.36 = 8,257.31 : x
  2. Step 2: Convert to fraction form
    14,971.50/20,660.36 = 8,257.31/x
  3. Step 3: Cross multiply
    14,971.50x = 20,660.36 × 8,257.31
  4. Step 4: Simplify right side
    14,971.50x = 170,598,997.23
  5. Step 5: Solve for x
    x = 170,598,997.23/14,971.50
  6. Step 6: Final answer
    x = 11,394.92

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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.