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Finding the Fourth Proportional to 19,165, 28,747.50 and 5,314

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Solution

The fourth proportional to 19,165, 28,747.50 and 5,314 is: 7,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165 : 28,747.50 = 5,314 : x
  2. Step 2: Convert to fraction form
    19,165/28,747.50 = 5,314/x
  3. Step 3: Cross multiply
    19,165x = 28,747.50 × 5,314
  4. Step 4: Simplify right side
    19,165x = 152,764,215
  5. Step 5: Solve for x
    x = 152,764,215/19,165
  6. Step 6: Final answer
    x = 7,971

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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.