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Finding the Fourth Proportional to 8,414, 12,620.48 and 2,570.14

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Solution

The fourth proportional to 8,414, 12,620.48 and 2,570.14 is: 3,855.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414 : 12,620.48 = 2,570.14 : x
  2. Step 2: Convert to fraction form
    8,414/12,620.48 = 2,570.14/x
  3. Step 3: Cross multiply
    8,414x = 12,620.48 × 2,570.14
  4. Step 4: Simplify right side
    8,414x = 32,436,400.47
  5. Step 5: Solve for x
    x = 32,436,400.47/8,414
  6. Step 6: Final answer
    x = 3,855.05

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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.