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Finding the Fourth Proportional to 15,817.28, 21,825.86 and 8,743.82

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Solution

The fourth proportional to 15,817.28, 21,825.86 and 8,743.82 is: 12,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.28 : 21,825.86 = 8,743.82 : x
  2. Step 2: Convert to fraction form
    15,817.28/21,825.86 = 8,743.82/x
  3. Step 3: Cross multiply
    15,817.28x = 21,825.86 × 8,743.82
  4. Step 4: Simplify right side
    15,817.28x = 190,841,238.34
  5. Step 5: Solve for x
    x = 190,841,238.34/15,817.28
  6. Step 6: Final answer
    x = 12,065.37

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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.