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Finding the Fourth Proportional to 13,512, 18,646.20 and 7,543.50

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Solution

The fourth proportional to 13,512, 18,646.20 and 7,543.50 is: 10,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512 : 18,646.20 = 7,543.50 : x
  2. Step 2: Convert to fraction form
    13,512/18,646.20 = 7,543.50/x
  3. Step 3: Cross multiply
    13,512x = 18,646.20 × 7,543.50
  4. Step 4: Simplify right side
    13,512x = 140,657,609.70
  5. Step 5: Solve for x
    x = 140,657,609.70/13,512
  6. Step 6: Final answer
    x = 10,409.83

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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.