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Finding the Fourth Proportional to 13,380, 20,070 and 3,652

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Solution

The fourth proportional to 13,380, 20,070 and 3,652 is: 5,478

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380 : 20,070 = 3,652 : x
  2. Step 2: Convert to fraction form
    13,380/20,070 = 3,652/x
  3. Step 3: Cross multiply
    13,380x = 20,070 × 3,652
  4. Step 4: Simplify right side
    13,380x = 73,295,640
  5. Step 5: Solve for x
    x = 73,295,640/13,380
  6. Step 6: Final answer
    x = 5,478

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