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Finding the Fourth Proportional to 13,512.52, 18,646.63 and 7,543

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Solution

The fourth proportional to 13,512.52, 18,646.63 and 7,543 is: 10,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.52 : 18,646.63 = 7,543 : x
  2. Step 2: Convert to fraction form
    13,512.52/18,646.63 = 7,543/x
  3. Step 3: Cross multiply
    13,512.52x = 18,646.63 × 7,543
  4. Step 4: Simplify right side
    13,512.52x = 140,651,530.09
  5. Step 5: Solve for x
    x = 140,651,530.09/13,512.52
  6. Step 6: Final answer
    x = 10,408.98

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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.