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Finding the Fourth Proportional to 14,284.56, 19,713 and 7,996.80

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Solution

The fourth proportional to 14,284.56, 19,713 and 7,996.80 is: 11,035.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.56 : 19,713 = 7,996.80 : x
  2. Step 2: Convert to fraction form
    14,284.56/19,713 = 7,996.80/x
  3. Step 3: Cross multiply
    14,284.56x = 19,713 × 7,996.80
  4. Step 4: Simplify right side
    14,284.56x = 157,640,918.40
  5. Step 5: Solve for x
    x = 157,640,918.40/14,284.56
  6. Step 6: Final answer
    x = 11,035.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.