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Finding the Fourth Proportional to 19,327, 28,990.50 and 5,476

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Solution

The fourth proportional to 19,327, 28,990.50 and 5,476 is: 8,214

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,327 : 28,990.50 = 5,476 : x
  2. Step 2: Convert to fraction form
    19,327/28,990.50 = 5,476/x
  3. Step 3: Cross multiply
    19,327x = 28,990.50 × 5,476
  4. Step 4: Simplify right side
    19,327x = 158,751,978
  5. Step 5: Solve for x
    x = 158,751,978/19,327
  6. Step 6: Final answer
    x = 8,214

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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.