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Finding the Fourth Proportional to 13,986.80, 20,980.25 and 5,666.97

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Solution

The fourth proportional to 13,986.80, 20,980.25 and 5,666.97 is: 8,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.80 : 20,980.25 = 5,666.97 : x
  2. Step 2: Convert to fraction form
    13,986.80/20,980.25 = 5,666.97/x
  3. Step 3: Cross multiply
    13,986.80x = 20,980.25 × 5,666.97
  4. Step 4: Simplify right side
    13,986.80x = 118,894,447.34
  5. Step 5: Solve for x
    x = 118,894,447.34/13,986.80
  6. Step 6: Final answer
    x = 8,500.48

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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.