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Finding the Fourth Proportional to 5,181.58, 7,769.63 and 2,256.47

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Solution

The fourth proportional to 5,181.58, 7,769.63 and 2,256.47 is: 3,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.58 : 7,769.63 = 2,256.47 : x
  2. Step 2: Convert to fraction form
    5,181.58/7,769.63 = 2,256.47/x
  3. Step 3: Cross multiply
    5,181.58x = 7,769.63 × 2,256.47
  4. Step 4: Simplify right side
    5,181.58x = 17,531,932.94
  5. Step 5: Solve for x
    x = 17,531,932.94/5,181.58
  6. Step 6: Final answer
    x = 3,383.51

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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.