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Finding the Fourth Proportional to 3,089.20, 4,630.20 and 1,627.60

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Solution

The fourth proportional to 3,089.20, 4,630.20 and 1,627.60 is: 2,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.20 : 4,630.20 = 1,627.60 : x
  2. Step 2: Convert to fraction form
    3,089.20/4,630.20 = 1,627.60/x
  3. Step 3: Cross multiply
    3,089.20x = 4,630.20 × 1,627.60
  4. Step 4: Simplify right side
    3,089.20x = 7,536,113.52
  5. Step 5: Solve for x
    x = 7,536,113.52/3,089.20
  6. Step 6: Final answer
    x = 2,439.50

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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.