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Finding the Fourth Proportional to 13,845.39, 20,770.71 and 7,602.04

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Solution

The fourth proportional to 13,845.39, 20,770.71 and 7,602.04 is: 11,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.39 : 20,770.71 = 7,602.04 : x
  2. Step 2: Convert to fraction form
    13,845.39/20,770.71 = 7,602.04/x
  3. Step 3: Cross multiply
    13,845.39x = 20,770.71 × 7,602.04
  4. Step 4: Simplify right side
    13,845.39x = 157,899,768.25
  5. Step 5: Solve for x
    x = 157,899,768.25/13,845.39
  6. Step 6: Final answer
    x = 11,404.50

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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.