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Finding the Fourth Proportional to 2,457.75, 3,687.23 and 814.46

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Solution

The fourth proportional to 2,457.75, 3,687.23 and 814.46 is: 1,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.75 : 3,687.23 = 814.46 : x
  2. Step 2: Convert to fraction form
    2,457.75/3,687.23 = 814.46/x
  3. Step 3: Cross multiply
    2,457.75x = 3,687.23 × 814.46
  4. Step 4: Simplify right side
    2,457.75x = 3,003,101.35
  5. Step 5: Solve for x
    x = 3,003,101.35/2,457.75
  6. Step 6: Final answer
    x = 1,221.89

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1.5x scale

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.