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Finding the Fourth Proportional to 5,871.20, 8,806.80 and 3,797.60

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Solution

The fourth proportional to 5,871.20, 8,806.80 and 3,797.60 is: 5,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.20 : 8,806.80 = 3,797.60 : x
  2. Step 2: Convert to fraction form
    5,871.20/8,806.80 = 3,797.60/x
  3. Step 3: Cross multiply
    5,871.20x = 8,806.80 × 3,797.60
  4. Step 4: Simplify right side
    5,871.20x = 33,444,703.68
  5. Step 5: Solve for x
    x = 33,444,703.68/5,871.20
  6. Step 6: Final answer
    x = 5,696.40

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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.