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Finding the Fourth Proportional to 3,072.40, 4,610.40 and 1,124.80

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Solution

The fourth proportional to 3,072.40, 4,610.40 and 1,124.80 is: 1,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.40 : 4,610.40 = 1,124.80 : x
  2. Step 2: Convert to fraction form
    3,072.40/4,610.40 = 1,124.80/x
  3. Step 3: Cross multiply
    3,072.40x = 4,610.40 × 1,124.80
  4. Step 4: Simplify right side
    3,072.40x = 5,185,777.92
  5. Step 5: Solve for x
    x = 5,185,777.92/3,072.40
  6. Step 6: Final answer
    x = 1,687.86

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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.