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Finding the Fourth Proportional to 5,289.88, 7,928.80 and 2,512.64

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Solution

The fourth proportional to 5,289.88, 7,928.80 and 2,512.64 is: 3,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.88 : 7,928.80 = 2,512.64 : x
  2. Step 2: Convert to fraction form
    5,289.88/7,928.80 = 2,512.64/x
  3. Step 3: Cross multiply
    5,289.88x = 7,928.80 × 2,512.64
  4. Step 4: Simplify right side
    5,289.88x = 19,922,220.03
  5. Step 5: Solve for x
    x = 19,922,220.03/5,289.88
  6. Step 6: Final answer
    x = 3,766.10

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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.