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Finding the Fourth Proportional to 19,065, 28,599.50 and 5,214

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Solution

The fourth proportional to 19,065, 28,599.50 and 5,214 is: 7,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,065 : 28,599.50 = 5,214 : x
  2. Step 2: Convert to fraction form
    19,065/28,599.50 = 5,214/x
  3. Step 3: Cross multiply
    19,065x = 28,599.50 × 5,214
  4. Step 4: Simplify right side
    19,065x = 149,117,793
  5. Step 5: Solve for x
    x = 149,117,793/19,065
  6. Step 6: Final answer
    x = 7,821.55

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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.