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Finding the Fourth Proportional to 13,212.96, 19,800.96 and 6,185.40

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Solution

The fourth proportional to 13,212.96, 19,800.96 and 6,185.40 is: 9,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.96 : 19,800.96 = 6,185.40 : x
  2. Step 2: Convert to fraction form
    13,212.96/19,800.96 = 6,185.40/x
  3. Step 3: Cross multiply
    13,212.96x = 19,800.96 × 6,185.40
  4. Step 4: Simplify right side
    13,212.96x = 122,476,857.98
  5. Step 5: Solve for x
    x = 122,476,857.98/13,212.96
  6. Step 6: Final answer
    x = 9,269.45

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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.