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Finding the Fourth Proportional to 14,021.81, 19,349.56 and 7,734.18

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Solution

The fourth proportional to 14,021.81, 19,349.56 and 7,734.18 is: 10,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.81 : 19,349.56 = 7,734.18 : x
  2. Step 2: Convert to fraction form
    14,021.81/19,349.56 = 7,734.18/x
  3. Step 3: Cross multiply
    14,021.81x = 19,349.56 × 7,734.18
  4. Step 4: Simplify right side
    14,021.81x = 149,652,979.96
  5. Step 5: Solve for x
    x = 149,652,979.96/14,021.81
  6. Step 6: Final answer
    x = 10,672.87

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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.