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Finding the Fourth Proportional to 13,976.52, 20,958.30 and 5,209.08

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Solution

The fourth proportional to 13,976.52, 20,958.30 and 5,209.08 is: 7,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.52 : 20,958.30 = 5,209.08 : x
  2. Step 2: Convert to fraction form
    13,976.52/20,958.30 = 5,209.08/x
  3. Step 3: Cross multiply
    13,976.52x = 20,958.30 × 5,209.08
  4. Step 4: Simplify right side
    13,976.52x = 109,173,461.36
  5. Step 5: Solve for x
    x = 109,173,461.36/13,976.52
  6. Step 6: Final answer
    x = 7,811.20

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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.