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Finding the Fourth Proportional to 2,704.30, 4,056.35 and 855.61

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Solution

The fourth proportional to 2,704.30, 4,056.35 and 855.61 is: 1,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.30 : 4,056.35 = 855.61 : x
  2. Step 2: Convert to fraction form
    2,704.30/4,056.35 = 855.61/x
  3. Step 3: Cross multiply
    2,704.30x = 4,056.35 × 855.61
  4. Step 4: Simplify right side
    2,704.30x = 3,470,639.20
  5. Step 5: Solve for x
    x = 3,470,639.20/2,704.30
  6. Step 6: Final answer
    x = 1,283.38

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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.