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Finding the Fourth Proportional to 1,738.96, 2,607.82 and 814.36

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Solution

The fourth proportional to 1,738.96, 2,607.82 and 814.36 is: 1,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.96 : 2,607.82 = 814.36 : x
  2. Step 2: Convert to fraction form
    1,738.96/2,607.82 = 814.36/x
  3. Step 3: Cross multiply
    1,738.96x = 2,607.82 × 814.36
  4. Step 4: Simplify right side
    1,738.96x = 2,123,704.30
  5. Step 5: Solve for x
    x = 2,123,704.30/1,738.96
  6. Step 6: Final answer
    x = 1,221.25

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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.