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Finding the Fourth Proportional to 13,511.52, 18,645.26 and 7,542

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Solution

The fourth proportional to 13,511.52, 18,645.26 and 7,542 is: 10,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.52 : 18,645.26 = 7,542 : x
  2. Step 2: Convert to fraction form
    13,511.52/18,645.26 = 7,542/x
  3. Step 3: Cross multiply
    13,511.52x = 18,645.26 × 7,542
  4. Step 4: Simplify right side
    13,511.52x = 140,622,513.21
  5. Step 5: Solve for x
    x = 140,622,513.21/13,511.52
  6. Step 6: Final answer
    x = 10,407.60

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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.