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Finding the Fourth Proportional to 12,642.96, 18,965.24 and 3,878.48

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Solution

The fourth proportional to 12,642.96, 18,965.24 and 3,878.48 is: 5,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.96 : 18,965.24 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    12,642.96/18,965.24 = 3,878.48/x
  3. Step 3: Cross multiply
    12,642.96x = 18,965.24 × 3,878.48
  4. Step 4: Simplify right side
    12,642.96x = 73,556,304.04
  5. Step 5: Solve for x
    x = 73,556,304.04/12,642.96
  6. Step 6: Final answer
    x = 5,817.97

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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.