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Finding the Fourth Proportional to 1,825, 2,740.70 and 1,727.72

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Solution

The fourth proportional to 1,825, 2,740.70 and 1,727.72 is: 2,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825 : 2,740.70 = 1,727.72 : x
  2. Step 2: Convert to fraction form
    1,825/2,740.70 = 1,727.72/x
  3. Step 3: Cross multiply
    1,825x = 2,740.70 × 1,727.72
  4. Step 4: Simplify right side
    1,825x = 4,735,162.20
  5. Step 5: Solve for x
    x = 4,735,162.20/1,825
  6. Step 6: Final answer
    x = 2,594.61

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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.