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Finding the Fourth Proportional to 14,663.72, 20,232.42 and 8,290.44

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Solution

The fourth proportional to 14,663.72, 20,232.42 and 8,290.44 is: 11,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.72 : 20,232.42 = 8,290.44 : x
  2. Step 2: Convert to fraction form
    14,663.72/20,232.42 = 8,290.44/x
  3. Step 3: Cross multiply
    14,663.72x = 20,232.42 × 8,290.44
  4. Step 4: Simplify right side
    14,663.72x = 167,735,664.06
  5. Step 5: Solve for x
    x = 167,735,664.06/14,663.72
  6. Step 6: Final answer
    x = 11,438.82

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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.