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Finding the Fourth Proportional to 19,331, 28,996.50 and 4,739

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Solution

The fourth proportional to 19,331, 28,996.50 and 4,739 is: 7,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,331 : 28,996.50 = 4,739 : x
  2. Step 2: Convert to fraction form
    19,331/28,996.50 = 4,739/x
  3. Step 3: Cross multiply
    19,331x = 28,996.50 × 4,739
  4. Step 4: Simplify right side
    19,331x = 137,414,413.50
  5. Step 5: Solve for x
    x = 137,414,413.50/19,331
  6. Step 6: Final answer
    x = 7,108.50

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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.