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Finding the Fourth Proportional to 8,302.87, 12,454.40 and 2,380.47

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Solution

The fourth proportional to 8,302.87, 12,454.40 and 2,380.47 is: 3,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.87 : 12,454.40 = 2,380.47 : x
  2. Step 2: Convert to fraction form
    8,302.87/12,454.40 = 2,380.47/x
  3. Step 3: Cross multiply
    8,302.87x = 12,454.40 × 2,380.47
  4. Step 4: Simplify right side
    8,302.87x = 29,647,325.57
  5. Step 5: Solve for x
    x = 29,647,325.57/8,302.87
  6. Step 6: Final answer
    x = 3,570.73

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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.