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Finding the Fourth Proportional to 13,881.92, 20,822.32 and 3,493.76

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Solution

The fourth proportional to 13,881.92, 20,822.32 and 3,493.76 is: 5,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.92 : 20,822.32 = 3,493.76 : x
  2. Step 2: Convert to fraction form
    13,881.92/20,822.32 = 3,493.76/x
  3. Step 3: Cross multiply
    13,881.92x = 20,822.32 × 3,493.76
  4. Step 4: Simplify right side
    13,881.92x = 72,748,188.72
  5. Step 5: Solve for x
    x = 72,748,188.72/13,881.92
  6. Step 6: Final answer
    x = 5,240.50

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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.