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Finding the Fourth Proportional to 13,770.35, 20,655.76 and 7,209.35

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Solution

The fourth proportional to 13,770.35, 20,655.76 and 7,209.35 is: 10,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.35 : 20,655.76 = 7,209.35 : x
  2. Step 2: Convert to fraction form
    13,770.35/20,655.76 = 7,209.35/x
  3. Step 3: Cross multiply
    13,770.35x = 20,655.76 × 7,209.35
  4. Step 4: Simplify right side
    13,770.35x = 148,914,689.22
  5. Step 5: Solve for x
    x = 148,914,689.22/13,770.35
  6. Step 6: Final answer
    x = 10,814.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.