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Finding the Fourth Proportional to 8,290.56, 12,429.84 and 2,742.24

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Solution

The fourth proportional to 8,290.56, 12,429.84 and 2,742.24 is: 4,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.56 : 12,429.84 = 2,742.24 : x
  2. Step 2: Convert to fraction form
    8,290.56/12,429.84 = 2,742.24/x
  3. Step 3: Cross multiply
    8,290.56x = 12,429.84 × 2,742.24
  4. Step 4: Simplify right side
    8,290.56x = 34,085,604.44
  5. Step 5: Solve for x
    x = 34,085,604.44/8,290.56
  6. Step 6: Final answer
    x = 4,111.38

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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.