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Finding the Fourth Proportional to 3,105.66, 4,285.62 and 1,779.06

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Solution

The fourth proportional to 3,105.66, 4,285.62 and 1,779.06 is: 2,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.66 : 4,285.62 = 1,779.06 : x
  2. Step 2: Convert to fraction form
    3,105.66/4,285.62 = 1,779.06/x
  3. Step 3: Cross multiply
    3,105.66x = 4,285.62 × 1,779.06
  4. Step 4: Simplify right side
    3,105.66x = 7,624,375.12
  5. Step 5: Solve for x
    x = 7,624,375.12/3,105.66
  6. Step 6: Final answer
    x = 2,454.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.