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Finding the Fourth Proportional to 13,661.52, 20,492.40 and 3,801.60

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Solution

The fourth proportional to 13,661.52, 20,492.40 and 3,801.60 is: 5,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.52 : 20,492.40 = 3,801.60 : x
  2. Step 2: Convert to fraction form
    13,661.52/20,492.40 = 3,801.60/x
  3. Step 3: Cross multiply
    13,661.52x = 20,492.40 × 3,801.60
  4. Step 4: Simplify right side
    13,661.52x = 77,903,907.84
  5. Step 5: Solve for x
    x = 77,903,907.84/13,661.52
  6. Step 6: Final answer
    x = 5,702.43

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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.