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Finding the Fourth Proportional to 3,101.60, 4,647.60 and 2,688.80

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Solution

The fourth proportional to 3,101.60, 4,647.60 and 2,688.80 is: 4,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,647.60 = 2,688.80 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,647.60 = 2,688.80/x
  3. Step 3: Cross multiply
    3,101.60x = 4,647.60 × 2,688.80
  4. Step 4: Simplify right side
    3,101.60x = 12,496,466.88
  5. Step 5: Solve for x
    x = 12,496,466.88/3,101.60
  6. Step 6: Final answer
    x = 4,029.04

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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.