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Finding the Fourth Proportional to 2,561.33, 3,842 and 917.98

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Solution

The fourth proportional to 2,561.33, 3,842 and 917.98 is: 1,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.33 : 3,842 = 917.98 : x
  2. Step 2: Convert to fraction form
    2,561.33/3,842 = 917.98/x
  3. Step 3: Cross multiply
    2,561.33x = 3,842 × 917.98
  4. Step 4: Simplify right side
    2,561.33x = 3,526,879.16
  5. Step 5: Solve for x
    x = 3,526,879.16/2,561.33
  6. Step 6: Final answer
    x = 1,376.97

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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.