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Finding the Fourth Proportional to 13,299.90, 18,359.91 and 9,474

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Solution

The fourth proportional to 13,299.90, 18,359.91 and 9,474 is: 13,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.90 : 18,359.91 = 9,474 : x
  2. Step 2: Convert to fraction form
    13,299.90/18,359.91 = 9,474/x
  3. Step 3: Cross multiply
    13,299.90x = 18,359.91 × 9,474
  4. Step 4: Simplify right side
    13,299.90x = 173,941,787.34
  5. Step 5: Solve for x
    x = 173,941,787.34/13,299.90
  6. Step 6: Final answer
    x = 13,078.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.