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Finding the Fourth Proportional to 14,512.65, 20,021.49 and 9,475.13

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Solution

The fourth proportional to 14,512.65, 20,021.49 and 9,475.13 is: 13,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.65 : 20,021.49 = 9,475.13 : x
  2. Step 2: Convert to fraction form
    14,512.65/20,021.49 = 9,475.13/x
  3. Step 3: Cross multiply
    14,512.65x = 20,021.49 × 9,475.13
  4. Step 4: Simplify right side
    14,512.65x = 189,706,120.44
  5. Step 5: Solve for x
    x = 189,706,120.44/14,512.65
  6. Step 6: Final answer
    x = 13,071.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.