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Finding the Fourth Proportional to 5,717.44, 7,890.36 and 3,478.96

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Solution

The fourth proportional to 5,717.44, 7,890.36 and 3,478.96 is: 4,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.44 : 7,890.36 = 3,478.96 : x
  2. Step 2: Convert to fraction form
    5,717.44/7,890.36 = 3,478.96/x
  3. Step 3: Cross multiply
    5,717.44x = 7,890.36 × 3,478.96
  4. Step 4: Simplify right side
    5,717.44x = 27,450,246.83
  5. Step 5: Solve for x
    x = 27,450,246.83/5,717.44
  6. Step 6: Final answer
    x = 4,801.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.