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Finding the Fourth Proportional to 1,234.16, 1,847.04 and 961.49

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Solution

The fourth proportional to 1,234.16, 1,847.04 and 961.49 is: 1,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.16 : 1,847.04 = 961.49 : x
  2. Step 2: Convert to fraction form
    1,234.16/1,847.04 = 961.49/x
  3. Step 3: Cross multiply
    1,234.16x = 1,847.04 × 961.49
  4. Step 4: Simplify right side
    1,234.16x = 1,775,911.50
  5. Step 5: Solve for x
    x = 1,775,911.50/1,234.16
  6. Step 6: Final answer
    x = 1,438.97

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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.