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Finding the Fourth Proportional to 14,131.50, 21,197.28 and 7,975.50

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Solution

The fourth proportional to 14,131.50, 21,197.28 and 7,975.50 is: 11,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.50 : 21,197.28 = 7,975.50 : x
  2. Step 2: Convert to fraction form
    14,131.50/21,197.28 = 7,975.50/x
  3. Step 3: Cross multiply
    14,131.50x = 21,197.28 × 7,975.50
  4. Step 4: Simplify right side
    14,131.50x = 169,058,906.64
  5. Step 5: Solve for x
    x = 169,058,906.64/14,131.50
  6. Step 6: Final answer
    x = 11,963.27

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Double scale
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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.