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Finding the Fourth Proportional to 5,717.87, 7,890.74 and 3,200.09

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Solution

The fourth proportional to 5,717.87, 7,890.74 and 3,200.09 is: 4,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.87 : 7,890.74 = 3,200.09 : x
  2. Step 2: Convert to fraction form
    5,717.87/7,890.74 = 3,200.09/x
  3. Step 3: Cross multiply
    5,717.87x = 7,890.74 × 3,200.09
  4. Step 4: Simplify right side
    5,717.87x = 25,251,034.71
  5. Step 5: Solve for x
    x = 25,251,034.71/5,717.87
  6. Step 6: Final answer
    x = 4,416.16

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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.