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Finding the Fourth Proportional to 5,717.89, 7,890.42 and 3,200.32

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Solution

The fourth proportional to 5,717.89, 7,890.42 and 3,200.32 is: 4,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.89 : 7,890.42 = 3,200.32 : x
  2. Step 2: Convert to fraction form
    5,717.89/7,890.42 = 3,200.32/x
  3. Step 3: Cross multiply
    5,717.89x = 7,890.42 × 3,200.32
  4. Step 4: Simplify right side
    5,717.89x = 25,251,868.93
  5. Step 5: Solve for x
    x = 25,251,868.93/5,717.89
  6. Step 6: Final answer
    x = 4,416.29

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1.5x scale

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.