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Finding the Fourth Proportional to 13,211.92, 19,811.16 and 5,813.20

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Solution

The fourth proportional to 13,211.92, 19,811.16 and 5,813.20 is: 8,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.92 : 19,811.16 = 5,813.20 : x
  2. Step 2: Convert to fraction form
    13,211.92/19,811.16 = 5,813.20/x
  3. Step 3: Cross multiply
    13,211.92x = 19,811.16 × 5,813.20
  4. Step 4: Simplify right side
    13,211.92x = 115,166,235.31
  5. Step 5: Solve for x
    x = 115,166,235.31/13,211.92
  6. Step 6: Final answer
    x = 8,716.84

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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.