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Finding the Fourth Proportional to 1,687.89, 2,326.77 and 1,245

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Solution

The fourth proportional to 1,687.89, 2,326.77 and 1,245 is: 1,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.89 : 2,326.77 = 1,245 : x
  2. Step 2: Convert to fraction form
    1,687.89/2,326.77 = 1,245/x
  3. Step 3: Cross multiply
    1,687.89x = 2,326.77 × 1,245
  4. Step 4: Simplify right side
    1,687.89x = 2,896,828.65
  5. Step 5: Solve for x
    x = 2,896,828.65/1,687.89
  6. Step 6: Final answer
    x = 1,716.24

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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.