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Finding the Fourth Proportional to 1,752.76, 2,626.62 and 1,205.56

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Solution

The fourth proportional to 1,752.76, 2,626.62 and 1,205.56 is: 1,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.76 : 2,626.62 = 1,205.56 : x
  2. Step 2: Convert to fraction form
    1,752.76/2,626.62 = 1,205.56/x
  3. Step 3: Cross multiply
    1,752.76x = 2,626.62 × 1,205.56
  4. Step 4: Simplify right side
    1,752.76x = 3,166,548.01
  5. Step 5: Solve for x
    x = 3,166,548.01/1,752.76
  6. Step 6: Final answer
    x = 1,806.61

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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.