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Finding the Fourth Proportional to 1,245.48, 1,872.10 and 786.21

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Solution

The fourth proportional to 1,245.48, 1,872.10 and 786.21 is: 1,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.48 : 1,872.10 = 786.21 : x
  2. Step 2: Convert to fraction form
    1,245.48/1,872.10 = 786.21/x
  3. Step 3: Cross multiply
    1,245.48x = 1,872.10 × 786.21
  4. Step 4: Simplify right side
    1,245.48x = 1,471,863.74
  5. Step 5: Solve for x
    x = 1,471,863.74/1,245.48
  6. Step 6: Final answer
    x = 1,181.76

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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.