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Finding the Fourth Proportional to 13,971.62, 20,958.44 and 5,206.50

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Solution

The fourth proportional to 13,971.62, 20,958.44 and 5,206.50 is: 7,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.62 : 20,958.44 = 5,206.50 : x
  2. Step 2: Convert to fraction form
    13,971.62/20,958.44 = 5,206.50/x
  3. Step 3: Cross multiply
    13,971.62x = 20,958.44 × 5,206.50
  4. Step 4: Simplify right side
    13,971.62x = 109,120,091.83
  5. Step 5: Solve for x
    x = 109,120,091.83/13,971.62
  6. Step 6: Final answer
    x = 7,810.12

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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.