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Finding the Fourth Proportional to 1,789.65, 2,687.22 and 1,756.86

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Solution

The fourth proportional to 1,789.65, 2,687.22 and 1,756.86 is: 2,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.65 : 2,687.22 = 1,756.86 : x
  2. Step 2: Convert to fraction form
    1,789.65/2,687.22 = 1,756.86/x
  3. Step 3: Cross multiply
    1,789.65x = 2,687.22 × 1,756.86
  4. Step 4: Simplify right side
    1,789.65x = 4,721,069.33
  5. Step 5: Solve for x
    x = 4,721,069.33/1,789.65
  6. Step 6: Final answer
    x = 2,637.98

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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.