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Finding the Fourth Proportional to 13,920.26, 20,881.60 and 3,532

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Solution

The fourth proportional to 13,920.26, 20,881.60 and 3,532 is: 5,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.26 : 20,881.60 = 3,532 : x
  2. Step 2: Convert to fraction form
    13,920.26/20,881.60 = 3,532/x
  3. Step 3: Cross multiply
    13,920.26x = 20,881.60 × 3,532
  4. Step 4: Simplify right side
    13,920.26x = 73,753,811.20
  5. Step 5: Solve for x
    x = 73,753,811.20/13,920.26
  6. Step 6: Final answer
    x = 5,298.31

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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.