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Finding the Fourth Proportional to 18,968, 28,468.92 and 9,969.44

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Solution

The fourth proportional to 18,968, 28,468.92 and 9,969.44 is: 14,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968 : 28,468.92 = 9,969.44 : x
  2. Step 2: Convert to fraction form
    18,968/28,468.92 = 9,969.44/x
  3. Step 3: Cross multiply
    18,968x = 28,468.92 × 9,969.44
  4. Step 4: Simplify right side
    18,968x = 283,819,189.80
  5. Step 5: Solve for x
    x = 283,819,189.80/18,968
  6. Step 6: Final answer
    x = 14,963.05

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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.