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Finding the Fourth Proportional to 14,741, 20,342.76 and 8,453.96

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Solution

The fourth proportional to 14,741, 20,342.76 and 8,453.96 is: 11,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741 : 20,342.76 = 8,453.96 : x
  2. Step 2: Convert to fraction form
    14,741/20,342.76 = 8,453.96/x
  3. Step 3: Cross multiply
    14,741x = 20,342.76 × 8,453.96
  4. Step 4: Simplify right side
    14,741x = 171,976,879.33
  5. Step 5: Solve for x
    x = 171,976,879.33/14,741
  6. Step 6: Final answer
    x = 11,666.57

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1.5x scale

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.