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Finding the Fourth Proportional to 12,884.68, 19,326.86 and 3,650.68

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Solution

The fourth proportional to 12,884.68, 19,326.86 and 3,650.68 is: 5,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.68 : 19,326.86 = 3,650.68 : x
  2. Step 2: Convert to fraction form
    12,884.68/19,326.86 = 3,650.68/x
  3. Step 3: Cross multiply
    12,884.68x = 19,326.86 × 3,650.68
  4. Step 4: Simplify right side
    12,884.68x = 70,556,181.26
  5. Step 5: Solve for x
    x = 70,556,181.26/12,884.68
  6. Step 6: Final answer
    x = 5,475.97

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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.