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Finding the Fourth Proportional to 13,257.88, 18,296 and 7,289.40

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Solution

The fourth proportional to 13,257.88, 18,296 and 7,289.40 is: 10,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.88 : 18,296 = 7,289.40 : x
  2. Step 2: Convert to fraction form
    13,257.88/18,296 = 7,289.40/x
  3. Step 3: Cross multiply
    13,257.88x = 18,296 × 7,289.40
  4. Step 4: Simplify right side
    13,257.88x = 133,366,862.40
  5. Step 5: Solve for x
    x = 133,366,862.40/13,257.88
  6. Step 6: Final answer
    x = 10,059.44

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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.