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Finding the Fourth Proportional to 19,265, 28,897.50 and 5,414

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Solution

The fourth proportional to 19,265, 28,897.50 and 5,414 is: 8,121

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,265 : 28,897.50 = 5,414 : x
  2. Step 2: Convert to fraction form
    19,265/28,897.50 = 5,414/x
  3. Step 3: Cross multiply
    19,265x = 28,897.50 × 5,414
  4. Step 4: Simplify right side
    19,265x = 156,451,065
  5. Step 5: Solve for x
    x = 156,451,065/19,265
  6. Step 6: Final answer
    x = 8,121

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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.