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Finding the Fourth Proportional to 13,991.88, 21,000.78 and 7,071.24

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Solution

The fourth proportional to 13,991.88, 21,000.78 and 7,071.24 is: 10,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.88 : 21,000.78 = 7,071.24 : x
  2. Step 2: Convert to fraction form
    13,991.88/21,000.78 = 7,071.24/x
  3. Step 3: Cross multiply
    13,991.88x = 21,000.78 × 7,071.24
  4. Step 4: Simplify right side
    13,991.88x = 148,501,555.57
  5. Step 5: Solve for x
    x = 148,501,555.57/13,991.88
  6. Step 6: Final answer
    x = 10,613.41

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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.