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Finding the Fourth Proportional to 8,282.63, 12,421.32 and 2,734.94

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Solution

The fourth proportional to 8,282.63, 12,421.32 and 2,734.94 is: 4,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.63 : 12,421.32 = 2,734.94 : x
  2. Step 2: Convert to fraction form
    8,282.63/12,421.32 = 2,734.94/x
  3. Step 3: Cross multiply
    8,282.63x = 12,421.32 × 2,734.94
  4. Step 4: Simplify right side
    8,282.63x = 33,971,585.72
  5. Step 5: Solve for x
    x = 33,971,585.72/8,282.63
  6. Step 6: Final answer
    x = 4,101.54

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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.