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Finding the Fourth Proportional to 8,145.87, 12,219.86 and 2,302.62

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Solution

The fourth proportional to 8,145.87, 12,219.86 and 2,302.62 is: 3,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.87 : 12,219.86 = 2,302.62 : x
  2. Step 2: Convert to fraction form
    8,145.87/12,219.86 = 2,302.62/x
  3. Step 3: Cross multiply
    8,145.87x = 12,219.86 × 2,302.62
  4. Step 4: Simplify right side
    8,145.87x = 28,137,699.79
  5. Step 5: Solve for x
    x = 28,137,699.79/8,145.87
  6. Step 6: Final answer
    x = 3,454.23

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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.