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Finding the Fourth Proportional to 13,761.05, 20,642.03 and 4,402.41

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Solution

The fourth proportional to 13,761.05, 20,642.03 and 4,402.41 is: 6,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.05 : 20,642.03 = 4,402.41 : x
  2. Step 2: Convert to fraction form
    13,761.05/20,642.03 = 4,402.41/x
  3. Step 3: Cross multiply
    13,761.05x = 20,642.03 × 4,402.41
  4. Step 4: Simplify right side
    13,761.05x = 90,874,775.96
  5. Step 5: Solve for x
    x = 90,874,775.96/13,761.05
  6. Step 6: Final answer
    x = 6,603.77

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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.