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Finding the Fourth Proportional to 19,428.64, 29,148 and 5,578.72

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Solution

The fourth proportional to 19,428.64, 29,148 and 5,578.72 is: 8,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.64 : 29,148 = 5,578.72 : x
  2. Step 2: Convert to fraction form
    19,428.64/29,148 = 5,578.72/x
  3. Step 3: Cross multiply
    19,428.64x = 29,148 × 5,578.72
  4. Step 4: Simplify right side
    19,428.64x = 162,608,530.56
  5. Step 5: Solve for x
    x = 162,608,530.56/19,428.64
  6. Step 6: Final answer
    x = 8,369.53

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Why These Related Problems?

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