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Finding the Fourth Proportional to 5,581, 8,374.38 and 2,845

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Solution

The fourth proportional to 5,581, 8,374.38 and 2,845 is: 4,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581 : 8,374.38 = 2,845 : x
  2. Step 2: Convert to fraction form
    5,581/8,374.38 = 2,845/x
  3. Step 3: Cross multiply
    5,581x = 8,374.38 × 2,845
  4. Step 4: Simplify right side
    5,581x = 23,825,111.10
  5. Step 5: Solve for x
    x = 23,825,111.10/5,581
  6. Step 6: Final answer
    x = 4,268.97

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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.