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Finding the Fourth Proportional to 19,406.29, 29,114.78 and 7,727.71

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Solution

The fourth proportional to 19,406.29, 29,114.78 and 7,727.71 is: 11,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.29 : 29,114.78 = 7,727.71 : x
  2. Step 2: Convert to fraction form
    19,406.29/29,114.78 = 7,727.71/x
  3. Step 3: Cross multiply
    19,406.29x = 29,114.78 × 7,727.71
  4. Step 4: Simplify right side
    19,406.29x = 224,990,576.55
  5. Step 5: Solve for x
    x = 224,990,576.55/19,406.29
  6. Step 6: Final answer
    x = 11,593.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.