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Finding the Fourth Proportional to 2,705.72, 4,059 and 1,145.74

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Solution

The fourth proportional to 2,705.72, 4,059 and 1,145.74 is: 1,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.72 : 4,059 = 1,145.74 : x
  2. Step 2: Convert to fraction form
    2,705.72/4,059 = 1,145.74/x
  3. Step 3: Cross multiply
    2,705.72x = 4,059 × 1,145.74
  4. Step 4: Simplify right side
    2,705.72x = 4,650,558.66
  5. Step 5: Solve for x
    x = 4,650,558.66/2,705.72
  6. Step 6: Final answer
    x = 1,718.79

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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.