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Finding the Fourth Proportional to 15,815.84, 21,825 and 8,741.84

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Solution

The fourth proportional to 15,815.84, 21,825 and 8,741.84 is: 12,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.84 : 21,825 = 8,741.84 : x
  2. Step 2: Convert to fraction form
    15,815.84/21,825 = 8,741.84/x
  3. Step 3: Cross multiply
    15,815.84x = 21,825 × 8,741.84
  4. Step 4: Simplify right side
    15,815.84x = 190,790,548.88
  5. Step 5: Solve for x
    x = 190,790,548.88/15,815.84
  6. Step 6: Final answer
    x = 12,063.26

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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.