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Finding the Fourth Proportional to 2,457.88, 3,686.82 and 726.37

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Solution

The fourth proportional to 2,457.88, 3,686.82 and 726.37 is: 1,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.88 : 3,686.82 = 726.37 : x
  2. Step 2: Convert to fraction form
    2,457.88/3,686.82 = 726.37/x
  3. Step 3: Cross multiply
    2,457.88x = 3,686.82 × 726.37
  4. Step 4: Simplify right side
    2,457.88x = 2,677,995.44
  5. Step 5: Solve for x
    x = 2,677,995.44/2,457.88
  6. Step 6: Final answer
    x = 1,089.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.