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Finding the Fourth Proportional to 19,329, 28,998.36 and 5,478

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Solution

The fourth proportional to 19,329, 28,998.36 and 5,478 is: 8,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,329 : 28,998.36 = 5,478 : x
  2. Step 2: Convert to fraction form
    19,329/28,998.36 = 5,478/x
  3. Step 3: Cross multiply
    19,329x = 28,998.36 × 5,478
  4. Step 4: Simplify right side
    19,329x = 158,853,016.08
  5. Step 5: Solve for x
    x = 158,853,016.08/19,329
  6. Step 6: Final answer
    x = 8,218.38

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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.