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Finding the Fourth Proportional to 19,311, 28,969.38 and 7,001.88

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Solution

The fourth proportional to 19,311, 28,969.38 and 7,001.88 is: 10,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311 : 28,969.38 = 7,001.88 : x
  2. Step 2: Convert to fraction form
    19,311/28,969.38 = 7,001.88/x
  3. Step 3: Cross multiply
    19,311x = 28,969.38 × 7,001.88
  4. Step 4: Simplify right side
    19,311x = 202,840,122.43
  5. Step 5: Solve for x
    x = 202,840,122.43/19,311
  6. Step 6: Final answer
    x = 10,503.86

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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.