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Finding the Fourth Proportional to 13,843.47, 20,765.21 and 3,455.22

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Solution

The fourth proportional to 13,843.47, 20,765.21 and 3,455.22 is: 5,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.47 : 20,765.21 = 3,455.22 : x
  2. Step 2: Convert to fraction form
    13,843.47/20,765.21 = 3,455.22/x
  3. Step 3: Cross multiply
    13,843.47x = 20,765.21 × 3,455.22
  4. Step 4: Simplify right side
    13,843.47x = 71,748,368.90
  5. Step 5: Solve for x
    x = 71,748,368.90/13,843.47
  6. Step 6: Final answer
    x = 5,182.83

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1.5x scale

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.