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Finding the Fourth Proportional to 8,357.84, 12,540.84 and 3,428.96

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Solution

The fourth proportional to 8,357.84, 12,540.84 and 3,428.96 is: 5,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.84 : 12,540.84 = 3,428.96 : x
  2. Step 2: Convert to fraction form
    8,357.84/12,540.84 = 3,428.96/x
  3. Step 3: Cross multiply
    8,357.84x = 12,540.84 × 3,428.96
  4. Step 4: Simplify right side
    8,357.84x = 43,002,038.73
  5. Step 5: Solve for x
    x = 43,002,038.73/8,357.84
  6. Step 6: Final answer
    x = 5,145.11

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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.