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Finding the Fourth Proportional to 13,471.60, 20,209.84 and 5,569.82

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Solution

The fourth proportional to 13,471.60, 20,209.84 and 5,569.82 is: 8,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.60 : 20,209.84 = 5,569.82 : x
  2. Step 2: Convert to fraction form
    13,471.60/20,209.84 = 5,569.82/x
  3. Step 3: Cross multiply
    13,471.60x = 20,209.84 × 5,569.82
  4. Step 4: Simplify right side
    13,471.60x = 112,565,171.03
  5. Step 5: Solve for x
    x = 112,565,171.03/13,471.60
  6. Step 6: Final answer
    x = 8,355.74

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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.